Statistics short answer # 3
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IBS Exercise 10 Q 1:What percentage of the females had scores at and below 27-28
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6.1
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IBS Exercise 10 Q 2:(Refer to table #3 ) What percentage of the males had scores at and below 27-28?
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11.2
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IBS Exercise 10 Q 4:(Refer to table #3 ) Based on the total sample, what is the percentile rank for a person with a raw score of 34
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20th
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IBS Exercise 10 Q 5:(Refer to table #3) Based on the norms for males, what is the percentile rank for a male with a raw score of 34?
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24th
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IBS Exercise 10 Q 6:(Refer to table #3) Based on the total sample, a percentile rank of about 85 corresponds to which raw scores?
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58
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IBS Exercise 10 Q 5:(Refer to table #3) Based on the norms for males, what is the percentile rank for a male with a raw score of 34?
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24th
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IBS Exercise 10 Q 5:(Refer to table #3) Based on the norms for males, what is the percentile rank for a male with a raw score of 34?
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24th
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IBS Exercise 10 Q 6:(Refer to table #3) Based on the total sample, a percentile rank of about 85 corresponds to which raw scores?
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58
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IBS Exercise 10 Q 7:(Refer to table #3) What percentage of the females had scores of 38 or less?
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25.6
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IBS Exercise 11 Q 11:Is the following statement true or false? "100% of the clients completed between 18 and 28 sessions."
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False
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IBS Exercise 11 Q 12:Is the following statement true or false? "80.8% of the clients completed six or fewer sessions."
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true
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IBS Exercise 11 Q 12:Is the following statement true or false? "80.8% of the clients completed six or fewer sessions."
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true
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IBS Exercise 11 Q 4:The footnote to the table states: "Mode = 1." What does this mean?
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More people attended one session than 2, or 3 or 4 , etc. sessions
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IBS Exercise 11 Q 12:Is the following statement true or false? "80.8% of the clients completed six or fewer sessions."
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true
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IBS Exercise 11 Q 2:What percentage of clients was under 21 years of age?
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No, not same data is skewed.
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IBS Exercise 11 Q 7:What is the cumulative percentage for 7-9 sessions?
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89.3
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IBS Exercise 11 Q 8:What percentage completed between 1 and 9 sessions?
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89.3
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IBS Exercise 11 Q 9:Which group of scores has the highest percentage of clients?
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1-3 sessions
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IBS Exercise 11 Q 9:Which group of scores has the highest percentage of clients?
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1-3 sessions
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IBS Exercise 12 Q 11:In Rio de Janeiro, how many of the 128 participants had been injecting for more than 14 years?
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32
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IBS Exercise 12 Q 12:The participants in which city had the least variability in the number of years of injecting?
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Glasgow
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IBS Exercise 12 Q 2:In Bangkok, what percentage of the participants had less than 7 years of education'?
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50
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IBS Exercise 12 Q 3:In New York, what percentage of the participants had more than 11 years of education?
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50
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IBS Exercise 12 Q 4:On the average, the participants in which city had the fewest years of injecting?
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GLASGOW
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IBS Exercise 12 Q 5:The participants in which city had the greatest variability in their ages?
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NY
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IBS Exercise 12 Q 6:The participants in which city had the greatest dispersion in their number of years of education?
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BANGKOK
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IBS Exercise 12 Q 7:In New York, what percentage of the participants had been injecting for 10 to 24 years?
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50
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IBS Exercise 12 Q 8:In New York, what percentage of the participants had been injecting for less than 10 years?
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25
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IBS Exercise 12 Q 9:In New York, how many of the 829 participants had been injecting for more than 24 years'?
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208
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IBS Exercise 13 Q 1:On the average, which group reported having more close friends?
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NON-ATTEMPTERS
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IBS Exercise 13 Q 10:Did any of the middle 50% of attempters have a "YSR score" as high as the national mean of 50?
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NO
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IBS Exercise 13 Q 12:What is the median difference between the two groups in "Perception of mother's caring"?
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12.5
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IBS Exercise 13 Q 11:What is the average difference between the two groups in "Family cohesion" scores?
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3.5
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IBS Exercise 13 Q 2: On the average, which group reported having lower academic performance?
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ATTEMPTERS
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IBS Exercise 13 Q 3:What percentage of the non-attempters reported having between 1 and 8 close friends?
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50
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IBS Exercise 13 Q 4:What percentage of the non-attempters reported having more than 8 close friends?
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25
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IBS Exercise 13 Q 5:What percentage of the attempters reported having more than 4 close friends?
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25
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IBS Exercise 13 Q 6:What is the 75th percentile for "No. of close friends" for non-attempters?
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8
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IBS Exercise 13 Q 7:What is the 25th percentile for "No. of close friends" for non-attempters?
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1
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IBS Exercise 14 Q 1:What is the sample size?
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69
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IBS Exercise 14 Q 2:In the histogram, are the outliers far to the left or far to the right?
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FAR TO RIGHT
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IBS Exercise 14 Q 3:By how many points do the mean of 3.5 and the median differ?
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1.50
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IBS Exercise 14 Q 4:How have the outliers influenced the mean?
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THEY MADE IT HIGHER
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IBS Exercise 15 Q 1:On the average, how many hours per day did the women sleep?
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7.35
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IBS Exercise 15 Q 2:On the average, how many hours a day did the women engage in "Light physical activity
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8.71
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IBS Exercise 15 Q 3:On the average, which type of physical activity was engaged in for the fewest number of hours?
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VERY HARD
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IBS Exercise 15 Q 4:Did the women average more than an hour a day of "Hard physical activity"?
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NO
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Section 4.1 - 15. Find the mean, median, and mode of the listed numbers. Actual times (in seconds) recorded when statistics students participated in an experiment to test their ability to determine when one minute (60 seconds) has passed: 53, 52, 75, 62, 68, 58, 49, and 49.
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Mean=48.3 sec; median=55.5 sec, mode = 49 sec
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Section 4.1 - 17. Find the mean, median, and mode of the listed numbers. Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences (based on data from the U.S. Department of Justice): 0.27, 0.17, 0.17, 0.16, 0.13, 0.24, 0.29, 0.24, 0.14, 0.16, 0.12, and 0.16.
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Mean= 0.188, Median=0.165, Mode = 0.16
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Section 4.1 - 24. Suppose you have scores of 60, 70, 65, 85, and 85 on exams in a sociology class. What score would you need on the next exam to have an over mean of 75
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85
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Section 4.2 - 15b. Would you expect the distribution of the annual incomes of all those in a statistics class, including the instructor, to be symmetric, left-skewed or right-skewed?
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right skewed
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Section 4.2 - 18b. The height of 500 male students, half of whom are adults while the other half are eight years of age. Would you expect the distribution to be symmetric, left-skewed or right-skewed?
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symmetric
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Section 4.2 - 20a. How many modes would you expect for the distribution of the weights of cars in a fleet consisting of 50 compact cars and 50 delivery trucks?
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two
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Section 4.2 - 25a. How many modes would you expect for the distribution of the incomes of people sitting in luxury boxes at the Super Bowl?
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one
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Section 4.3 - 9. Find the range. Pages from Merriam - Webster's Collegiate Dictionary, 11th edition, were randomly selected. Here are the numbers of words defined on those pages: 51, 63, 36, 43, 34, 62, 73, 39, 53, and 79.
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45
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Section 4.3 - 13. Find the range. Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences (based on data from the U.S. Department of Justice): 0.27, 0.17, 0.17, 0.16, 0.13, 0.24, 0.29, 0.24, 0.14, 0.16, 0.12, and 0.16.
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0.17
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Section 4.3 - 21b. A statistics professor with too much time on his hands weighed each M&M candy in a bag of 465 plain M7M candies. One of the M&Ms weighed 0.876 gram and it was heavier than 322 of the other M&M. What is the percentile of this particular value?
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78th
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Section 4.3 - 23b. The following four sets of 7 numbers all have a mean of 9.Which one has the greatest range?
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[6, 6, 6, 9, 12, 12, 12].
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Section 5.1 - 11. State whether you would expect it to be normally distributed. The exact weights of a random sample of quarters manufactured in 2012 by the U.S. Mint.
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not normally distributed
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Section 5.1 - 15. State whether you would expect it to be normally distributed. All of the SAT scores from last year.
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Normal
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Section 5.1 - 18. State whether you would expect it to be normally distributed. The amounts of the fines from parking tickets found on a random sample of 1,000 parked cars.
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Not Normal
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Section 5.1 - 22. The figure below shows a histogram for the weights of 30 randomly selected aspirin tablets. The mean weight is 665.4 milligrams. Is this distribution close to normal?
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no not normal
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Section 5.2 - 10a. Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the percentage of pulse rates less than 70.
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50
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Section 5.2 - 12a. When designing the placement of a CD player in a new model car, engineers must consider the forward gap grip reach of the driver. Women have forward grip reaches that are normally distributed with a mean of 27.0 inches and a standard deviation of 1.3 inches (based on anthropometric survey data from Gordin, Churchill et all.). Use the 68-95-99.7 rule to find the indicated quantity. Find the percentage of women with forward grip reaches between 24.4 inches and 29.6 inches.
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95
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Section 5.2 - 12c. When designing the placement of a CD player in a new model car, engineers must consider the forward gap grip reach of the driver. Women have forward grip reaches that are normally distributed with a mean of 27.0 inches and a standard deviation of 1.3 inches (based on anthropometric survey data from Gordon, Churchill et all.). Use the 68-95-99.7 rule to find the indicated quantity. Find the percentage of women with forward grip reaches between 27.0 inches and 28.3 inches.
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34
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IBS Exercise 15 Q 5:Did the women average more than an hour a day of "Moderate physical activity"?
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YES
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Section 5.1 - 25b. Consider the graph of the normal distribution below, which illustrates the relative frequencies in a distribution of systolic blood pressures for a sample of female students. The distribution has a standard deviation of 14. Estimate (using area) the percentage of students whose blood pressure is less than 100.
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15
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Section 5.1 - 25a. Consider the graph of the normal distribution below, which illustrates the relative frequencies in a distribution of systolic blood pressures for a sample of female students. The distribution has a standard deviation of 14. What is the mean of the distribution?
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115
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Section 5.1 - 25c. Consider the graph of the normal distribution below, which illustrates the relative frequencies in a distribution of systolic blood pressures for a sample of female students. The distribution has a standard deviation of 14. Estimate the percentage of students whose blood pressure is between 110 and 130.
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45
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Section 5.2 - 10c. Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following qualities. Percentage of pulse rates between 55 and 100.
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84
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IBS Exercise 12 Q 1:On the average, the participants in which city were oldest?
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New York
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IBS Exercise 12 Q 10:In Rio de Janeiro, what percentage of the participants had been injecting from 4.5 to 14 years?
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50
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IBS Exercise 11 Q 9:Which group of scores has the highest percentage of clients?
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1-3 sessions
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IBS Exercise 11 Q 5:How many clients completed 7-9 sessions?
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8
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IBS Exercise 11 Q 6:What percentage of the clients completed 7-9 sessions?
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8.5
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IBS Exercise 10 Q 8:(Refer to table #3) What percentage of the males had scores of 38 or less?
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38.2
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IBS Exercise 11 Q 1:What is the median age of the clients?
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21
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IBS Exercise 11 Q 10:Is the following statement true or false? "57.4% of the clients completed more than 1 to 3 sessions."
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false
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You conduct a poll in which you randomly select 1,200 college students in California and ask if they have taken an online course. The population for this study is
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All college students in California.
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When we say that a sample is representative of the population, we mean that
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The results found for the sample are similar to those we would find for the entire population
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Consider an experiment designed to see whether cash incentives can improve school attendance. The Researcher chooses two groups of 100 high school students: she offers one group $10 for every week of perfect attendance. She tells the other group that they are part of an experiment but does not give them any incentive. The students who do not receive an incentive represent:
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the control group
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The experiment described in Exercise 4 is:
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Not blind
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The purpose of a placebo is:
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To prevent participants from knowing whether they belong to the treatment group or the control group
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If we see a placebo effect in an experiment to test a new treatment designed to cure warts, it means:
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Warts were cured among members of the control group
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An experiment is single-blind if:
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The participants do not know whether they belong to the treatment or control group.
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Poll; X predicts that Powell will receive 49% of the bots, while Poll Y predicts that she will receive 53% of the vote. Both polls have a margin of error of 3 percentage points. What can you conclude:
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The two polls are consistent with eachother
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A survey reveals that 24% of adults believe that the most fun way to flirt is through instant messages. The margin of error is 3 percentage points. The confidence interval for this poll is:
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from 21-27%
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A study conducted by the oil company Exxon Mobil shows that there was no lasting damage from a large oil spoil in Alaska. This conclusion:
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May be correct, but the potential for bias means you should look very closely at how the conclusion was reached
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The television show American Idol selects winners from votes cast by anyone who wants to vote. This means the winner:
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May or may not be the person most Americans want to win, because the voting is subject to participation bias
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Consider an experiment in which you measure the weights of randomly selected cars. The variable of interest in this study is:
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The weights of the cars
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Imagine a survey of randomly selected people in which it is found that people who use sunscreen were more likely to have been sunburned in the past year. Which explanation for this result seems most likely:
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People who use sunscreen are more likely to spend time in the sun
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If a statistical study is carefully conducted in every possible way, then:
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We can have confidence in its results, but it is still possible that the results are not correct
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Sitting heights of 750 randomly selected licensed drivers are measured. Are those values continuous or discrete?
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continuous
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Sitting heights of 750 randomly selected licensed drivers are measured. What is the level of measurement of the values described ?
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Ratio
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A researcher measures the sitting height of a subject and records a value of 91.4 cm, but the subject's actual sitting height is 89.0 cm. What is the absolute error?
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2.4
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A researcher measures the sitting height of a subject and records a value of 91.4 cm, but the subject's actual sitting height is 89.0. What is the relative error?
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2.7
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Recorded survey results include the states in which respondents reside. What is the level of measurement of those data?
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Nominal
