annas class – Flashcards
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Given the stemplot below, which description is TRUE? 1, 18, 19, 20, 21, 22, 22, 30, 30, 32, 33 -The range is 33. -The median is 21. -The distribution is right-skewed. -The number 1 is the only outlier on the stemplot.
answer
The number 1 is the only outlier on the stemplot
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Which of the following descriptions is NOT a correct common feature of mixture problem? -The objective in a mixture problem is to find how much of each product to make so as to maximize the profit without exceeding any of the resource limitations. -Definite resources are available in limited, known quantities for the period in question. -Definite products can be made by combining, or mixing the resources. -Each product's profit is contingent upon time.
answer
Each product's profit is contingent upon time
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Refer to the feasible region defined by the following constraints: x + y <- 6 x + 2y - 0 y >- 0 If the profit formula is P = 5x, what is the maximum profit? -40 -35 -32 -30
answer
30
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Suppose the feasible region has four corners at these points: (0, 0), (5, 0), (0, 4), and (2, 3). If the profit formula is P = $2x + $3y, what is the maximum profit possible? -$12 -$13 -$15 -$14
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$13
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Any linear programming problem has at most two products. -False -True
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False
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Find the point of intersection of the lines with equations x + 4y = 11 and 2x + 5y = 16. -(6, 0) -(2, 3) -(-2, 3) -(3, 2)
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(3, 2)
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The ordered pair (200, 400) is in the feasible region identified by the inequalities x + 2y ≤ 1500 and 4x + 3y ≤ 2200. -True -False
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True
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The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = 2x + 3y. -(9, 0) -(0, 5) -(7, 2) -(3, 4)
answer
(7, 2)
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Write the resource constraints for this situation: A small stereo manufacturer makes a receiver and a CD player. Each receiver (x) takes eight hours to assemble and eight hours to test and ship. Each CD player (y) takes 15 hours to assemble and two hours to test and ship. The profit on each receiver is $30 and the profit on each CD player is $50. There are 160 hours available in the assembly department and 22 hours available in the testing and shipping department. -8x + 15y ≤ 30, 8x + 2y ≤ 50, x ≥ 0, y ≥ 0 -8x + 1y ≤ 160, 15x + 2y ≤ 22, x ≥ 0, y ≥ 0 -8x + 15y ≤ 160, 8x + 2y ≤ 22, x ≥ 0, y ≥ 0 -8x + 1y ≤ 30, 15x + 2y ≤ 50, x ≥ 0, y ≥ 0
answer
8x + 15y <- 160, 8x + 2y - 0, y >- 0
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The simplex algorithm always gives optimal solutions to linear programming problems. -True -False
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True
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Write the resource constraints for this situation: A company manufactures patio chairs (x) and rockers (y). Each piece is made of wood, plastic, and aluminum. A chair requires one unit of wood, one unit of plastic, and two units of aluminum. A rocker requires one unit of wood, two units of plastic, and five units of aluminum. The company's profit on a chair is $7 and on a rocker is $12. The company has available 400 units of wood, 500 units of plastic, and 1450 units of aluminum. -1x + 1y + 2z ≤ 7, 1x + 2y + 5z ≤ 12, x ≥ 0, y ≥ 0, z ≥ 0 -7x + 12y ≤ 400, 2 x + 5y ≤ 1450, x ≥ 0, y ≥ 0 -400x + 500y + 1450z ≤ 0, 1x + 1y + 2z ≤ 7, 1x+ 2y + 5z ≤ 12, x ≥ 0, y ≥ 0, z ≥ 0 -1x + 1y ≤ 400, 1 x + 2y ≤ 500, 2x + 5y ≤ 1450, x ≥ 0, y ≥ 0
answer
1x + 1y <- 400, 1x + 2y <- 500, 2x + 5y - 0, y >- 0
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Write a resource constraint for this situation: A lawn service company has 40 hours of worker time available. Mowing a lawn (x) takes three hours and trimming (y) takes two hours. The profit from mowing is $15 and the profit from trimming is $10. -15x + 10y ≤ 40 -(40/3)x + 10y ≤ 40 -5x + 5y ≤ 40 -3x + 2y ≤ 40
answer
3x + 2y <- 40
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How does the line representing the maximum feasible profit intersect the feasible region? -There is at least one point of intersection, and sometimes more than one point of intersection. -There is only one point of intersection. -There are no points of intersection.
answer
There is at least one point of intersection, and sometimes more than one point of intersection
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Given profit P = 21x + 11y subject to the constraints x 0, y 0, 7x + 4y 13: Graph the feasible region and determine a corner point where there is an optimal solution. (Warning: The corner point where the optimal solution occurs may not have integer values for both x and y.) The maximum value occurs at the corner point _________ . -(0, 13/4) -(13/4, 0) -(0, 0) -(0, 13/7) (13/7, 0)
answer
(13/7, 0)
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Where do the lines 6x + 2y = 26 and 2x + 3y = 18 intersect? -At the point (6, 2) -At the point (3, 4) -At the point (3, 2)
answer
At the point (3, 4)
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Select the correct option. The cost C of manufacturing x pounds of flour blend X and y pounds of flour blend Y is given as C = 9x + 4y. If a company is using linear programming to minimize the cost of making the blends X and Y and this happens when x = 11 and y = 9, which of the following statements must hold? -x = 11 and y = 9 is the only point where the minimum can occur. -x = 11 and y = 9 cannot be an interior point of the feasible region. -x = 9 and y = 11 cannot be an interior point of the feasible region. -x = 11 and y = 9 cannot be a corner point.
answer
x = 11 and y = 9 cannot be an interior point of the feasible region
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Find the point of intersection of the lines with equations 4x + 2y = 12 and 3x + 9y = 39. -(5, -4) -(2, 2) -(10, 1) -(1, 4)
answer
(1, 4)
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The two lines 2x + 3y = 12 and 6x + 9y = 7 -intersect at (3, 2). -intersect at (23, 22). -are parallel.
answer
Are parallel
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Select the correct option. Nuts Galore sells two spiced nut mixtures: Grade A and Grade B. Grade A requires 7 oz of peanuts for every 8 oz of almonds. Grade B requires 9 oz of peanuts for every 8 oz of almonds. There are 630 oz of peanuts and 640 oz of almonds available. Grade A makes Nuts Galore a profit of $1.70 and Grade B makes a profit of $2.40 per unit assembled. How many units of Grade A and Grade B nut mixtures should be made to maximize the company's profit, assuming that all units made can be sold? -Make 0 grade A and 50 grade B batches. -Make 70 grade A and 0 grade B batches. -Make 10 grade A and 70 grade B batches. -Make 0 grade A and 70 grade B batches.
answer
Make 0 grade A batches and 70 grade B batches
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Select the correct option. A linear-programming problem has constraints given by: x ≥ 0, y ≥ 0, 5x - y ≤ 15 and 4y + x ≤24 What are the corner points of the feasible region for this LP problem? -(0, 0), (0, 6), (0, 3), (5, 4) -(0, 0), (0, 6), (3, 0), (4, 5) -(0, 0), (6, 0), (3, 0), (5, 4) -(0, 2), (6, 0), (3, 0), (4, 5)
answer
(0,0), (0,6), (3,0), (4,5)
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Write a resource constraint for this situation: A lawn service company has 40 hours of worker time available. Mowing a lawn (x) takes three hours and trimming (y) takes two hours. The profit from mowing is $15 and the profit from trimming is $10. -3x + 2y ≤ 40 -(40/3)x + 10y ≤ 40 -15x + 10y ≤ 40 -5x + 5y ≤ 40
answer
3x + 2y <- 40
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Graph the feasible region identified by the following inequalities: 2x + 4y <- 20: 4x + 2y - 0, y >- 0: Which of these points is not in the feasible region of the graph drawn? -(5, 0) -(2, 4) -(4, 0)
answer
(5,0)
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Which of these points lie in the region 4x + 3y >- 24, x >- 0, y >- 0? -Points (2, 5) and (3, 4) -Points (5, 2) and (3, 4) -Points (5, 2) and (2, 5)
answer
Points (5,2) and (3,4)
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Consider the feasible region identified by the inequalities. y - x ≤ 9 y - 2x ≥ 3 x ≥, y ≥ 0 Which one of the following points is a corner point? A. (2, 11) B. (0, 5) C. (6, 15)
answer
(6,15)
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Write the constraint inequalities for this situation: A cheeseburger (x) requires 5 oz of meat and 0.7 oz of cheese and a superburger (y) requires 7 oz of meat and 0.6 oz of cheese. The burger stand has 350 oz of meat and 42 oz of cheese available. The profit on a cheeseburger is 10 cents and the profit on a superburger is 40 cents. -5x + 0.7y ≤ 10, 7 x + 0.6y ≤ 40, x ≥ 0, y ≥ 0 -70x + 50y ≤ 350, 60 x + 70y ≤ 42, x ≥ 0, y ≥ 0 -5x + 7y ≤ 350, 0.7 x + 0.6y ≤ 42, x ≥ 0, y ≥ 0 -5x + 7y ≤ 10, 0.7 x + 0.6y ≤ 40, x ≥ 0, y ≥ 0
answer
5x + 7y <- 350, 0.7x + 0.6y - 0, y >- 0
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What is the profit formula for the following situation? Producing a bookshelf requires eight boards and six screws. Producing a TV stand requires six boards and eighteen screws. Each bookshelf yields $25 profit, and each TV stand yields $20 profit. There are 120 boards and 198 screws available. Use variables x, y to denote the number of bookshelves and TV stands to be produced, respectively. A. P = 25x + 20y B. P = 120x + 198y C. P = 8x + 6y
answer
P = 25x + 20y
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Producing a bookshelf requires eight boards and six screws. Producing a TV stand requires six boards and eighteen screws. Each bookshelf yields $25 profit, and each TV stand yields $20 profit. There are 120 boards and 198 screws available. Sketch the feasible region. How many bookshelves and TV stands need to be sold to realize the maximum profit? What is the maximum profit? A. Eight bookshelves and nine TV stands for a maximum profit of $380 B. Nine bookshelves and eight TV stands for a maximum profit of $385 C. 15 bookshelves and 11 TV stands for a maximum profit of $595
answer
Nine bookshelves and eight TV stands for a maximum profit of $385
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Where do the lines 5x + 3y = 20 and 2x - y = -14 intersect? A. At the point (2, -10) B. At the point (-2, -10) C. At the point (-2, 10)
answer
At the point (-2,10)
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Which of the following are true statements? I: The simplex method and Karmarkar's algorithm can be used to solve linear programming problems, such as finding minimum cost in routing long-distance calls or finding maximum profit from selling products subject to resource constraints. II: The stepping stone method can be used to solve transportation problems, such as minimizing costs of deliveries shipped to various stores or efficiently assigning volunteers from different parts of the country to help clean up at various sites after a hurricane. A. Only I is true. B. Only II is true. C. Both I and II are true.
answer
Both I and II are true
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What are the resource inequalities for the following situation? Producing a bookshelf requires eight boards and six screws. Producing a TV stand requires six boards and eighteen screws. Each bookshelf yields $25 profit, and each TV stand yields $20 profit. There are 120 boards and 198 screws available. Use variables x, y to denote the number of bookshelves and TV stands to be produced, respectively. A. 8x + 6y ≤ 25, 6x + 18y ≤ 20, x ≤ 120, y ≤ 198 B. 8x + 6y ≤ 198, 6x + 18y ≤ 120, x ≥ 0, y ≥ 0 C. 8x + 6y ≤ 120, 6x + 18y ≤ 198, x ≥ 0, y ≥ 0
answer
8x + 6y <- 120, 6x + 18y - 0, y >- 0
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Below is a list of the number of dogs owned by families in a particular neighborhood. 0, 0, 2, 1, 0, 1, 0, 4, 0, 1 What is the mean number of dogs owned? -1.29 -0.5 -0.9 -0
answer
0.9
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Below are the numbers of errors made by a typist on various pages of typing. 14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8 Find the third quartile for the number of errors. -4.5 -15.5 -5 -13
answer
13
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Given the set of data below, find the median. 2, 4, 4, 5, 6, 9 -5 -30 -7 -4.5
answer
4.5
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Given the set of data below, find the standard deviation. 2, 4, 4, 5, 6, 9 -5.6 -4.74 -4.5 -2.37
answer
2.37
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Below are the lengths (in minutes) of phone calls made to a business on one day. Find the five-number summary for these data. 14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8 -2, 4.5, 6.5, 13, 35 -2, 4, 6, 12, 19 -5, 8, 14, 15.5, 20 -2, 4, 7, 14, 35
answer
2, 4.5, 6.5, 13, 35
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The annual income of residents in a county is $42,000 with a standard deviation of $10,000. Between what two values do 95% of the incomes of county residents lie? -$40,000 and $44,000 -$22,000 and $62,000 -$32,000 and $52,000 -$30,000 and $50,000
answer
$22,000 and $62,000
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The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What range of years contains 68% of all battery shelf lives? -2.83 to 4.17 years -2.5 to 4.5 years -2 to 5 years -2.75 to 4.25
answer
2.75 to 4.25
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Given the stemplot below, which description is TRUE? 29, 32, 36, 37, 41, 42, 50, 75 -The number 75 is the only outlier on the stemplot. -The number 60 is the only outlier on the stemplot. -The numbers 29 and 75 are outliers on the stemplot. -There are no outliers on the stemplot.
answer
The number 75 is the only outlier on the stemplot
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You look at real estate ads for houses in Sarasota, Florida. There are many houses ranging from $200,000 to $400,000 in price. The few houses on the water, however, have prices up to $15 million. The distribution of house prices will be ______________________ . -roughly symmetric -skewed to the left -skewed to the right
answer
Skewed to the right
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What are all the values that a standard deviation s can possibly take? - 0 <- s - 0 <- s <- 1 - -1 <- s <- 1
answer
0 <- s
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Which of these is not in a five-number summary? -Median -Mean -Minimum
answer
Mean
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Below are the numbers of errors made by a typist on various pages of typing. 14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8 Find the median number of errors. -7 -9.583 -10 -6.5
answer
6.5
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You look at real estate ads for houses in Sarasota, Florida. There are many houses ranging from $200,000 to $400,000 in price. The few houses on the water, however, have prices up to $15 million. The distribution of house prices will be ______________________ . -roughly symmetric -skewed to the right -skewed to the left
answer
Skewed to the right
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Below are the lengths (in minutes) of phone calls made to a business on one day. Find the five-number summary for these data. 14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8 -5, 8, 14, 15.5, 20 -2, 4, 6, 12, 19 -2, 4, 7, 14, 35 -2, 4.5, 6.5, 13, 35
answer
2, 4.5, 6.5, 13, 35
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Select the correct option. In degrees Fahrenheit, a typical January day in Houston has a low of 46 and a high of 63, while in ElPaso has 32 and 57, respectively. Which city has a larger temperature range for January? -Houston, because 65 > 57 and 46 > 31 -El Paso, because 46 - 32 > 63 - 57 -Houston, because 63 > 57 and 46 > 32 -El Paso, because 57 - 32 > 63 - 46
answer
El Paso, because 57 - 32 > 63 - 46
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The figure below shows boxplots of the incomes of a large sample of people who have a high school diploma but no further education and another large group of people with a bachelor's degree but no higher degree. The data come from a Census Bureau survey, so that they represent all people aged 25 to 64 in the United States. Because there are a few extremely high incomes, the boxplot leaves out the highest 5% in each group. Based on the plot, compare the distributions of income for these two levels of education. Choose the correct statement from the list below. -The income distribution for bachelor's degree holders is generally higher than for high school graduates: the median for bachelor's is less than the third quartile for high school. -None of the choices are correct. -The income distribution for bachelor's degree holders is generally higher than for high school graduates: the median for bachelor's is greater than the third quartile for high school. -The income distribution for bachelor's degree holders is generally lower than for high school graduates: the median for bachelor's is greater than the third quartile for high school. -The income distribution for bachelor's degree holders is generally lower than for high school graduates: the median for bachelor's is less than the third quartile for high school.
answer
The income distribution for bachelor's degree holders is generally higher than for high school graduates: the median for bachelor's is greater than the third quartile for high school
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Select the correct option. The basic unit of Census data is the household, not the person. If a divorce breaks a household into two, but no individual person's income changes, how the mean household income will be affected? -The mean household income will decrease. -The mean household income will remain the same. -The mean household income will increase. -The mean household income cannot be determined.
answer
The mean household income will decrease
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Given the set of data below, find the standard deviation. 25, 16, 50, 19, 42, 37 -6.07 -184.3 -13.58 -921.5
answer
13.58
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Given the set of data below, find the range. 25, 16, 50, 19, 42, 37 -66 -34 -50 -12
answer
34
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The scale of scores on an IQ test is approximately normal with mean 100 and standard deviation 15. The organization MENSA, which calls itself ?the high IQ society,? requires an IQ score of 130 or higher for membership. What percent of adults would qualify for membership? -5% -95% -2.5%
answer
2.5%
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Given the stemplot below, which description is TRUE? 29, 32, 36, 37, 41, 42, 50, 75 -There are no outliers on the stemplot. -The number 75 is the only outlier on the stemplot. -The number 60 is the only outlier on the stemplot. -The numbers 29 and 75 are outliers on the stemplot.
answer
The number 75 is the only outlier on the stemplot
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Below is a stemplot of the ages of patients at a doctor's office. Which statement is true? 18, 19, 44, 45, 45, 46, 49, 49, 50, 51, 53, 59, 59, 62, 62, 63, 66, 67, 67, 68, 69, 71, 75, 76, 78, 78, 78, 79, 80, 81, 82, 85 A. The stemplot is roughly symmetric. B. The stemplot is skewed toward the higher ages. C. The two youngest patients are outliers.
answer
The two youngest patients are outliers
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Which one of the following is not correct for a normal distribution? A. The density curve is symmetric and the mean is at the center of the symmetry of the curve. B. The standard deviation is the distance from the center to the change-of-curvature points on either sides. C. The quartiles are located about 1 standard deviation away from the mean.
answer
The quartiles are located about 1 standard deviation away from the mean
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Here are seven ages of college students (in years): 30, 18, 44, 21, 22, 25, and 26. Find their mean. A. 25.00 B. 26.57 C. 8.60
answer
26.57
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The percentage of scores on a standardized exam that lie above the third quartile is A. 25%. B. 50%. C. 75%.
answer
25%
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Find the five-number summary for the data: 9, 11, 4, 13, 23, 12, 8, 15, 10, 3, 2, 14 A. 2, 6.15, 10.33, 16.65, 23 B. 2, 6, 10.5, 13.5, 23 C. 2, 6, 12.5, 13.5, 23
answer
2, 6, 10.5, 13.5, 23
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If the mean of the data 4, 6, 8, 5, 7, 10, 9 is 7, what is its standard deviation? A. 6.50 B. 10.00 C. 3.16
answer
3.16
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Here are seven ages of college students (in years): 30, 18, 44, 21, 22, 25, and 26. Find their median. A. 25.00 B. 26.57 C. 8.60
answer
25.00
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The distribution of scores on a history test is close to normal. The scores are adjusted so that the mean score is about µ = 75 and the standard deviation is σ = 5. How high must a student score to be in the top 25%? A. 78.35 B. 76.25 C. 80.67
answer
78.35
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The points on a scatterplot lie very close to the line whose equation is y = 5 - 3x. The correlation between x and y is close to ______ . - 1 - -1 - -3
answer
-1
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The distribution of scores on a history test is close to normal. The scores are adjusted so that the mean score is about µ = 75 and the standard deviation is σ = 5. What percent of the scores fall between 65 and 75? A. 13.5% B. 27.0% C. 47.5%
answer
47.5%
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If the residual error is positive, the observed response lies ________ the line. -above -below -on
answer
above
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When the units of measurement are changed, what will happen to the least-squares regression line? -The sign of the slope and y intercept will remain fixed. -The regression line will not be changed. -The slope will change its sign. -The y intercept will change its sign.
answer
The sign of the slope and y intercept will remain fixed
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A sample of households in a community is selected at random from the telephone directory. In this community, 4% of households have no telephone and another 35% have unlisted telephone numbers. The sample will certainly suffer from __________________________________. -nonresponse -false responses -undercoverage
answer
Undercoverage
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If the points of a scatterplot lie on a straight line, then the correlation must be: -either 1 or -1. -positive. -1. -0.
answer
Either 1 or -1
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If the correlation between x and y is 0, this means that: -the scatterplot has no pattern. -All the answers are correct. -None of the answers is correct. -the data do not show a linear trend.
answer
The data do not show a linear trend
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The slope of the least-squares regression line is the: -opposite of the correlation between the variables. -same sign as the correlation between the variables. -correlation between the variables. -opposite sign of the correlation between the variables.
answer
Same sign as the correlation between the variables
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If the points of a scatterplot lie on a straight line, then the correlation must be: -1. -either 1 or -1. -0. -positive.
answer
Either 1 or -1
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How does an outlier affect the correlation? -A single outlier can change the value and the sign of the correlation. -A single outlier can change the value of the correlation, but not its sign. -A single outlier has minimal effect. -A single outlier has no effect.
answer
A single outlier can change the value and the sign of the correlation
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An outlier is an individual value that: -extends the pattern. -deviates from the pattern. -determines the strength of the relationship. -outlines the general form of the data.
answer
Deviates from the pattern
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If a regression line for two variables has a small positive slope, then the: -association of the variables cannot be determined. -variables have no association with each other. -variables are positively associated. -variables are negatively associated.
answer
Variables are positively associated
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If two variables named x and y have a strong positive association, then: -changes in x do not necessarily cause changes in y. -increasing x will cause y to increase. -making x positive will make y positive. -doubling x will cause y to double.
answer
Changes in x do not necessarily cause changes in y
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If the least-squares regression line is y = -2x + 17, then what is the residual for the point (7, 5)? -3 -2 3 2
answer
2
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If the least-squares regression line is y = 5x - 3, then for x = 3, the predicted value for y is: 12. 2. 0. 1.20
answer
12
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If the correlation between two variables is 1, then the points of their scatterplot: -all lie within 1/2 unit of the regression line. -all lie within 1 unit of the regression line. -lie so that exactly half of the points are on each side of the regression line. -all lie on the regression line.
answer
All lie on the regression line
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A teacher wants to predict a student's score on the linear correlation test based on the number of hours the student studied. What is the explanatory variable? What is the response variable? a) Explanatory variable: the number of study hours; Response variable: test scores b) Explanatory variable: test scores; Response variable: the number of study hours c) Explanatory variable: the teacher; Response variable: test scores
answer
Explanatory variable: the number of study hours; Response variable: test scores
question
Suppose you buy new tires for your car, and then at every 1000 miles you drive, you measure the tread on the tires. Assuming there is a relation between the number of miles you drive your car and the amount of tread on the tires, what kind of association do you think exists? a) A positive association b) A negative association c) No association
answer
A negative association
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Which of the following best describes the relation between the ice cream sales and water consumption? a) There is no correlation. b) There is a correlation, but no guarantee that there is a causation. c) There is a causation
answer
There is a correlation, but no guarantee that there is a causation
question
A teacher wanted to predict a student's score on the linear correlation test based on the number of hours the student studied. The teacher discovered that test grades y are related to the number of study hours x. Suppose that the equation of the regression line is y = 8x + 4. If a student studied for 11 hours, what grade would the teacher predict? a) 84 b) 88 c) 92
answer
92
question
Determine the correlation, r, of the x and y values given in the table below. (0, 125), (10, 120), (20, 100), (30, 115), (40, 115), (50, 90), (60, 85), (70, 65) a) r = -0.855 b) r = -0.881 c) r = 0.881
answer
r = -0.881
question
A teacher wanted to predict a student's score on the linear correlation test based on the number of hours the student studied. The teacher discovered that test grades y are related to the number of study hours x. Suppose that the equation of the regression line is y = 8x + 4. If a student made a 60 on the test, this would lead the teacher to believe that the student studied for how many hours? a) 9 b) 8 c) 7
answer
7
question
Use the table of x and y values below to determine the slope of the least-squares regression line. (0, 125), (10, 120), (30, 115), (40, 115), (50, 90), (60, 85), (70,65) a) m = -0.744 b) m = 127.917 c) m = -0.881
answer
m = -0.744
question
Use the table of x and y values below to determine the y-intercept of the least-squares regression line. (0, 125), (10, 120), (20, 100), (30, 115), (40, 115), (50, 90), (60, 85), (70, 65) a) b = -0.744 b) b = 127.917 c) b = -0.881
answer
b = 127.917
question
The data from the table below gives a regression that is (5, 12), (10, 20), (15, 19), (20, 24), (25, 28), (30, 20), (35, 25), (80, 85) a) reliable. b) unreliable. c) unable to determine the reliability.
answer
Unreliable
question
Consider the following situation: Doctors identify 500 women, half of whom had mothers with breast cancer and half of whom did not. The medical records of the women are followed up for 20 years to determine if heredity plays a role in breast cancer. This describes a prospective study. -True -False
answer
True
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If an experiment is designed in a way that both of the experimental subjects and the person who interact with them don't know which treatment each subject received, then the experiment is: -randomized. -double-blind. -well controlled. -not controllable
answer
double-blind
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A random sample of 600 voters in Centralville indicated that 48 of them believed their congressional representative was honest and trustworthy. The sample proportion is: -0.8. -0.125. -0.48. -0.08
answer
0.08
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A group of 100 students is randomly chosen and divided into two groups. One group is taught typing using a set of new materials and the other using traditional methods. After instruction, typing speeds are compared to determine if the new materials improve learning. This type of study is a(n): -comparative experiment. -observational study. -prospective study. -retrospective study
answer
Comparative experiment
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A call-in poll asks who people are planning to vote for in the next Presidential election. People who believe major change is needed are likely to be represented in this poll ________ than they should be, if the goal is to get results that are representative of all voters. -more -less
answer
More
question
When variables have effects on the outcome which cannot be distinguished from each other, those variables are said to be: -well designed. -confounded. -correlated. -dependent.
answer
Confounded
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Select the correct option. A sample of people who choose to have their opinions be part of a poll is called: -A unilateral response sample -A voluntary response sample -A non-voluntary response sample
answer
A voluntary response sample
question
A survey of folk music fans yields this 95% confidence interval estimate of the proportion of fans who love the music of David Wilcox: 0.74 to 0.86. The estimated mean percentage of fans who love Wilcox's music must be about -86% -80% -95%
answer
80%
question
A study of cell phones and the associated risk of brain cancer looked at a group of 519 people who have brain cancer. The investigators matched each cancer patient with a person of the same sex, age, and race who did not have brain cancer, then asked about their use of cell phones. This kind of study is known as ___________. -double-blind -retrospective -prospective -observational
answer
Observational
question
To determine the proportion of students at a university who favors the construction of a parking garage, a sample of people driving through the student center parking lot is surveyed and it is found that 45% favor the garage. The actual proportion of the student body who favors the garage is 40%. This difference is MOST likely an example of sampling: -variability. -bias.
answer
Bias
question
A sample survey concerning Nonresponse actually called 150 students, but 23 of the students refused to say whether they pray. This nonresponse could cause the survey result to be in error. The error due to nonresponse _________________________________. -can be ignored because it isn't random -is included in the margin of error -is in addition to the margin of error
answer
Is in addition to the margin of error
question
A call-in poll asks who people are planning to vote for in the next Presidential election. People who believe major change is needed are likely to be represented in this poll ________ than they should be, if the goal is to get results that are representative of all voters. -more -less
answer
More
question
You wish to survey the students at your college to determine their feelings about the quality of services in the student center. Which of the following sampling designs is BEST for avoiding bias? -Air an announcement on the campus radio station asking all listeners to phone in their opinions. -Place an ad in the student newspaper asking all readers to mail in their opinions. -Obtain a list of student names from the registrar and select 250 names to contact. -Survey every 10th student who enters the student center.
answer
Obtain a list of student names from a registrar and select 250 names to contact
question
Could the magnetic fields from power lines cause leukemia in children? Investigators spent five years and $5 million comparing 638 children who had leukemia and 620 who did not. They went into the homes and actually measured the magnetic fields in the children's bedrooms, in other rooms, and at the front door. They recorded facts about nearby power lines for the family home and also for the mother's residence when she was pregnant. Result: No evidence of more than a chance connection between magnetic fields and childhood leukemia. Is this a study or an experiment? -Observational study -Experiment -Retrospective study
answer
Observational study
question
A study of cell phones and the associated risk of brain cancer looked at a group of 519 people who have brain cancer. The investigators matched each cancer patient with a person of the same sex, age, and race who did not have brain cancer, then asked about their use of cell phones. This kind of study is known as ___________. -prospective -double-blind -retrospective -observational
answer
Observational
question
A typical hour of prime-time television shows three to five violent acts. Linking family interviews and police records shows a clear association between time spent watching TV as a child and later aggressive behavior. Is this a study or an experiment? -Retrospective study -Experiment -Observational study
answer
Observational study
question
You see a woman student standing in front of the student center, now and then stopping other students to ask them questions. She says that she is collecting student opinions for a class assignment. Which statement below best explains why this sampling method is almost certainly biased? -Students passing the student center may not fairly represent all students -A woman student may be reluctant to stop men, thus underrepresenting male students -The woman student is not stopping every student -All of the options are correct -None of the options are correct
answer
All of the options are correct
question
An opinion poll contacts 1021 adults and asks them, Which political party do you think has better ideas for leading the country in the twenty-first century? In all, 723 of the 1021 say, The Democrats. The sample in this setting is __________________________________ . -the 1021 people interviewed -all 220 million adults in the United States -the 723 people who chose the Democrats
answer
The 1021 people interviewed
question
Studies that follow subjects forward in time are called ___________ . -retrospective -prospective -double-blind
answer
Prospective
question
On January 2, 2008, the American Idol website (www .americanidol.com) conducted an online poll that asked respondents which contestant they liked best among six former contestants. To become part of the sample, respondents simply clicked on a response. Of the 941,434 responses to this poll, 55% voted for Clay Aiken. We can conclude that _________________________________ . -most Americans prefer Clay Aiken out of those former contestants -the sample is too small a fraction of the millions of people who watched the TV show to draw any conclusion -the poll uses voluntary response, so the results tell us little about the population of all adults
answer
The poll uses voluntary response, so the results tell us little about the population of all adults
question
A news article reports that in a recent Gallup poll, 78% of the sample of 1108 adults said they believe there is a heaven. Only 60% said they believe there is a hell. The news article ends, The poll's margin of sampling error was plus or minus four percentage points. Can we be certain that between 56% and 64% of all adults believe there is a hell? -No -Yes
answer
No
question
A study of religious practices among college students interviewed a sample of 125 students; 105 of the students said that they prayed at least once in a while. What is the sample proportion who said they pray? -105 -0.84 -84
answer
0.84
question
A treatment consisting of a dummy pill that looks like (but isn't) real medicine is known as __________ . -double-blind -controlled -a placebo
answer
A placebo
question
The American Community Survey (ACS) will replace the census long form starting with the 2010 census. The main part of the ACS contacts households at 250,000 addresses by mail each month, with follow-up by phone and in person if there is no response. Each household answers questions about its housing, economic, and social status. What is the population for the ACS? -All households in the United States. -3,000,000 households. -250,000 households
answer
All households in the United States
question
Select the correct option. An experiment is designed to see if a treatment is the ______ of the response. -function -result -cause
answer
Cause
question
Select the correct option. A sample of people who choose to have their opinions be part of a poll is called: -A unilateral response sample -A voluntary response sample -A non-voluntary response sample
answer
A voluntary response sample
question
In 1960 the inflation rate was about 5.1%. If you invested in a savings account with an annual interest rate of 4.9%, what was the real growth rate of this investment?
answer
-0.19%
question
A simple random sample of 1825 people living in a small city was asked if they support an additional local sales tax to help fund the local community college. Of these people, 1304 said that they support this tax. Find the margin of error for the 95% confidence interval for the proportion p of all residents in this city who support the tax. a) 0.0125 b) 0.025 c) 0.0211
answer
0.0211
question
A pollster is interested in knowing which Presidential candidate voters prefer in the upcoming election. In an effort to obtain this information, 1000 voters are randomly selected and asked their preference. The sample in this situation is a) the Presidential candidates. b) the 1000 selected voters. c) all voters.
answer
The 1000 selected voters
question
A simple random sample of 1825 people living in a small city was asked if they support an additional local sales tax to help fund the local community college. Of these people, 1304 said that they support this tax. Find the 95% confidence interval for the proportion p of all residents in this city who support the tax. a) 0.7020 to 0.7270 b) 0.6934 to 0.7356 c) 0.6895 to 0.7395
answer
0.6934 to 0.7356
question
A researcher is interested in the effect of smoking habit on the development of lung cancer. 700 patients with lung cancer and another 700 patients without lung cancer are recruited to the study and their past smoking habit is examined. This is an example of a) a retrospective study. b) a prospective study. c) an experiment.
answer
A retrospective study
question
What kind of sampling eliminates bias? a) Convenience sampling b) Voluntary response sampling c) Simple random sampling
answer
Simple random sampling
question
Suppose 62% of all college students think that they will never use statistics in their life. The population proportion is p = 0.62. Suppose many different simple random samples of 2,000 college students were taken. The standard deviation of the sampling distribution is a) 0.62. b) 0.0109. c) 0.00012.
answer
0.0109
question
A candle manufacturer conducted a poll to determine the most popular scent this year. The results of this poll showed that 40.7% of the sample preferred cinnamon. The percent given in this situation corresponds to a) a statistic. b) a parameter. c) a sampling distribution.
answer
A statistic
question
Suppose 62% of all college students think that they will never use statistics in their life. The population proportion is p = 0.62. Suppose many different simple random samples of 2,000 college students were taken. The mean of the sampling distribution is a) 0.62. b) 0.0109. c) 0.00012
answer
0.62
question
On the final episode of "Design Star," viewers were asked to text or vote online for their favorite designer. This is an example of a) bias. b) convenience sampling. c) voluntary response sampling.
answer
Voluntary response sampling
question
In late 2001 the inflation rate was about 2.9%. If you invested in a savings account with an annual interest rate of 9.2%, what was the real growth rate of this investment? 1.66% 4.27% 6.12% 3.35%
answer
6.12%
question
Sindee wants to make an investment that will have a real growth rate of 9%. If the current inflation rate is 1.97%, what annual interest rate will she need to get on her investment to accomplish her goal? 12.82% 11.15% 7.63% 8.50%
answer
11.15%
question
Depositing $100 on a child's annual birth date is an example of ______________________ . -a retirement fund -a sinking fund -an annuity
answer
An annuity
question
Monte wants to make an investment that will have a real growth rate of 6%. If the current inflation rate is 2.5%, what annual interest rate will he need to get on his investment to accomplish his goal? 14.67% 15.82% 8.65% 9.40%
answer
8.65%
question
Ray wants to make an investment that will have a real growth rate of 5%. If the current inflation rate is 2.5%, what annual interest rate will he need to get on his investment to accomplish his goal? 7.63% 12.82% 11.15% 8.50%
answer
7.63%
question
What is the APY for 6% compounded continuously? 6.18% 6.10% 6.40% 6.00%
answer
6.18%
question
The Chavez family has decided to save up for a new spa. They want to save $10,000 in five years. They find a savings account for which interest was compounded monthly at 8.2%. How much will they have to deposit each month to meet this goal? $135 $97 $256 $54
answer
$135
question
A computer was purchased in 1999 for $3000. Its value in current dollars depreciates steadily at a rate of 25% per year. What will the computer's value be at the beginning of 2003? $1920.05 $949.22 $652.28 $373.81
answer
$949.22
question
If the current inflation rate of 3% remains constant over the next 10 years, what will the relative purchasing power of a dollar be in 10 years? $0.80 $0.70 $0.74 $0.79
answer
$0.74
question
What is the APY for 6% compounded weekly? 6.00% 7.25% 6.18% 6.09%
answer
6.18%
question
What is the APY for 12.3% compounded weekly? 13.1% 11.8% 12.7% 12.3%
answer
13.1%
question
Compound interest is an example of -exponential growth. -geometric growth. -humongous growth
answer
Exponential growth
question
Which of the following pays more interest? -6% compounded continuously -6% compounded annually -6% compounded monthly
answer
6% compounded continuously
question
Simple interest is an example of _____________________. -constant growth -linear growth -variable growth
answer
Linear growth
question
Suppose you invest $250 in an account that pays 4.5% interest compounded quarterly. After 30 months, how much is in your account? $279.59 $279.71 $279.08
answer
$279.59
question
Javier bought a house in 1974 for $49,000 and sold it in 2014. If the 1974 CPI is 49.3 and the 1997 CPI is 160.5, how much would the house be worth in 2014 dollars? -$223,086 -$235,260 -$195,157 -$165,456
answer
$235,260
question
If a single deposit is made into a compound interest certificate of deposit, the account ___________________________. -earns interest only for the first period. -earns the same amount of interest each period. -earns more interest in each subsequent period.
answer
Earns more interest in each subsequent period
question
An 18% annual rate on a credit-card balance is an example of __________________. -an adjusted rate -an effective rate -a nominal rate
answer
A nominal rate
question
If a new car costs $18,000 and loses value at a rate of 20% per year, its value after 3 years is $______ . (Give your answer as a whole number.)
answer
9216
question
You have $2500 that you invest at 6% simple interest. What is the balance after four years? $3100 $6000 $310 $600
answer
$3100
question
If you save $350 per month in an account paying 2.75% interest compounded monthly, how much will you have in that account 12 years later? $58,952.45 $60,412.54 $57,842.75 $59,631.31
answer
$59,631.31
question
Suppose you invest in an account that pays 5% interest, compounded quarterly. You would like your investment to grow to $5000 in 16 years. How much would you have to invest in order for this to happen? $4153 $2374 $2258 $3125
answer
$2258
question
What is the APY for 5.3% compounded quarterly? 5.6% 5.4% 5.3% 5.5%
answer
5.4%
question
Your credit union offers to finance a $6000 conventional loan at 4% to be repaid in four years of monthly payments. Your monthly payment is $______. (Give your answer to 2 decimal places.)
answer
135.47
question
If $10,000 is initially deposited in an account and left in there for 20 years, what will be the ending balance if interest is 3% compounded continuously? a) $16,000.00 b) $18,221.19 c) $19,228.34
answer
$18,221.19
question
Sharon plans on attending the University of Florida's agricultural program in two years. Since Sharon does not live near the university, her projected bill for the first year, including room and board, will be $22,325. Sharon decides to deposit money into an account monthly. If Sharon finds an account paying 1.99% compounded monthly, how much would she have to deposit each month for two years to accumulate $22,325? a) $912.59 b) $829.89 c) $967.95
answer
$912.59
question
If you bought a riding lawnmower at the beginning of 2009 for $2000 and its value in current dollars depreciates steadily at a rate of 20% per year, what will be its value at the beginning of 2011 in current dollars? a) $1200 b) $1280 c) $720
answer
$1280
question
What is the APY for an account with a nominal annual rate of 5% compounded quarterly? a) 5.00% b) 5.09% c) 5.13%
answer
5.09%
question
Suppose that the monthly statement from the fund reports a beginning balance of $3000 and a closing balance of $3028.52. What is the effective annual rate? a) 12.02% b) 11.41% c) 10.24%
answer
12.02%
question
How much interest is earned if $2500 is invested at 6%, compounded monthly, for five years? a) $3372.13 b) $63.13 c) $872.13
answer
$872.13
question
If you deposit $5000 in an account that pays 4.5% simple interest, what is the balance after three years? a) $6750 b) $5075 c) $5675
answer
$5675
question
Sharon plans on attending the University of Florida's agricultural program in two years. Since Sharon does not live near the university, her projected bill for the first year, including room and board, will be $22,325. Instead of depositing money in an account monthly, Sharon decides to buy a CD. City National Bank of Florida is currently advertising a 24-month CD at a rate of 2.95% compounded monthly. How much would Sharon need to deposit into the CD now to have enough to cover her first year's tuition? a) $20,676.42 b) $11,111.15 c) $21,047.45
answer
$21,047.45
question
The Smiths built their home in 1995 for $150,000. Use Table 21.5 on page 892 of your text to estimate what this house would have cost to build in 2009. Round your answer to the nearest thousands. a) $211,000 b) $101,000 c) $318,000
answer
$211,00
question
An effective interest rate ___________________________________. -always takes inflation into account. -is the same as the nominal rate. -takes compounding into account
answer
Takes compounding into account
question
Which of these loan rates is MOST favorable? 12% compounded quarterly 12% compounded monthly 12% continuously compounded 12% compounded annually
answer
12% compounded annually
question
Which of these savings rates is MOST favorable? 4% compounded semi-annually 4% compounded annually 4% compounded quarterly 4% compounded monthly
answer
4% compounded monthly
question
You have established an annuity plan that will accumulate to $50,000 in 10 years by investing $100 a month. If you instead invest $200 a month, what would your annuity accumulate? $150,000 $100,000 more than $160,000 less than $90,000
answer
$100,000
question
If a store credit account charges 1.5% interest each month, the APR is ______%. (Give your answer as a whole number.)
answer
18
question
The nominal rate of interest for a loan is __________________________. -less than the effective rate -the same as the effective rate -never greater than the effective rate
answer
Never greater than the effective rate
question
Suppose that you need $4000 to purchase equipment. If you are applying for a discounted loan at an interest rate of 5% per year for 3 years, how much do you need to borrow to cover the principal? $4821.76 $4600 $4000 $4705.88
answer
$4705.88
question
A credit card statement shows a daily interest rate of 0.0367%. What is the EAR?
answer
14.33%
question
Find the future value of an annuity with monthly deposits of $250, made over a period of eight years, with 6% interest compounded monthly. $23,292 $30,707 $13,721 $23,205
answer
$30,707
question
Select the correct option. In a 30-year mortgage, most of the amount of the first several payments goes toward ______. -principle -APR -interest -APY
answer
Interest
question
An effective interest rate ___________________________________. -takes compounding into account. -is the same as the nominal rate. -always takes inflation into account
answer
Takes compounding into account
question
Which of these savings rates is MOST favorable? 5% compounded monthly 5% compounded annually 5% compounded quarterly 5% compounded semi-annually
answer
5% compounded monthly
question
A life income annuity is designed to pay a fixed amount each period until ________________________________. -you reach your life expectancy -you die -the annuity runs out of money
answer
You die
question
Equity in a 30-year conventional mortgage grows _____________________. -linearly -logarithmically -exponentially, but slowly
answer
Exponentially, but slowly
question
True or False APR stands for annual percentage rate. False True
answer
True
question
Select the correct option. The interest charged on Federal Direct Stafford Loans is ____. compound interest, compounded daily. compound interest, compounded quarterly. simple interest
answer
Simple interest
question
Find the future value of an annuity with monthly deposits of $75, made over a period of 10 years, with 8% interest compounded monthly. $13,721 $23,205 $30,707 $23,292
answer
$13,721
question
Moe takes out a conventional loan to purchase a car. The interest rate is 8.3% compounded monthly and Moe has eight years to repay the $12,000 he borrowed. What are Moe's monthly payments? $171.48 $305.21 $385.07 $186.49
answer
$171.48
question
Your rich Uncle Ralph is willing to loan you $1000 for two years and asks that you repay your loan with annual compounding interest at the rate of 10% per year. How much will you repay after two years? $1121 $1210 $1110 $1200
answer
$1210
question
The Martins are excited about buying their first home. They need to borrow $180,000 to make the purchase. Their local credit union is giving them a 30-year mortgage, with equal monthly payments, and a great rate of 5.325%. How much equity will the Martins have in their home after making payments for 10 years (120 payments)? Assume the house is still worth $180,000 at that time. Round your answer to the nearest thousand dollars. a) $148,000 b) $73,000 c) $32,000
answer
$32,000
question
Credit-card interest ______________________________. is computed using compound interest is computed using simple interest is included in the late fees
answer
Is computed using computed interest
question
How much would an annuity cost that guarantees monthly payments of $1500 a month for 20 years? Assume an interest rate of 3.75% per year, compounded monthly. Round your answer to the nearest thousand dollars. a) $360,000 b) $253,000 c) $218,000
answer
$253,000
question
Suppose that you are offered a 20-year mortgage for $200,000 at 2.52% if you are willing to pay three points. If you don't have the three points (=$6,000), how much do you need to borrow in total? a) $206,185.57 b) $206,000.00 c) $206,384.21
answer
$206,185.57
question
The Martins are excited about buying their first home. They need to borrow $180,000 to make the purchase. Their local credit union is giving them a 30-year mortgage, with equal monthly payments, and a great rate of 5.325%. How much is their monthly payment? a) $1002.34 b) $2461.62 c) $1364.27
answer
$1002.34
question
The Martins are excited about buying their first home. They need to borrow $180,000 to make the purchase. Their local credit union is giving them a 30-year mortgage, with equal monthly payments, and a great rate of 5.325%. If they make their payments on time and they don't make any early payments, how much will they end up paying for their $180,000 home? Round your answer to the nearest thousand dollars. a) $491,000 b) $361,000 c) $886,000
answer
$361,000
question
Why do women receive smaller payments than men with a life income annuity? a) Women on average live longer than men. b) Men on average live longer than women. c) Men on average earn more income than women in a lifetime.
answer
Women on average live longer than men.
question
What is home equity? a) The total amount of the monthly payments that you have made. b) The price you paid for the home. c) The amount of principal you have repaid on the loan.
answer
The amount of principal you have repaid on the loan
question
After looking for a car for weeks, Chris decides on one that costs $13,000. Including taxes and fees, the total he has to borrow is $14,600. He acquires a 48-month loan with a 7.95% interest rate, compounded monthly. How much interest does Chris pay? a) $1600.00 b) $5444.86 c) $2492.32
answer
$2492.32
question
Suppose your Aunt Harriet is nice enough to loan you $5000. Since you are her favorite niece, she only charges you a simple interest rate of 3% per year. How much interest will you be paying each month? a) $152.08 b) $12.50 c) It depends on the length of the loan.
answer
$12.50
question
If a student got a loan at a yearly interest rate of 4.66% compounded quarterly, what is the effective annual rate (EAR)? a) 4.66% b) 4.74% c) 4.82%
answer
4.74%
