QM Final – Flashcards
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A binomial random variable is defined as the number of successes achieved in n trials of a Bernoulli process.
True
False
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True
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The advantage of using mean absolute deviation rather than variance as a measure of dispersion is that mean absolute deviation:
-is less sensitive to extreme deviations.
-requires fewer observations to be a valid measure.
-considers only unfavorable (negative) deviations from the mean.
-is a relative measure rather than an absolute measure of risk.
answer
is less sensitive to extreme deviations.
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A recent survey of 200 small firms (annual revenue less than $10 million) asked whether an increase in the minimum wage would cause the firm to decrease capital spending. Possible responses to the survey question were: "Yes," "No," or "Don't Know." This data is best classified as ___________.
-Ratio scale
-Nominal scale
-Interval scale
-Ordinal scale
answer
Nominal scale
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Which of the following variables is quantitative?
-Religious affiliation
-Gender
-Marital status
-Temperature
answer
Temperature
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Time series data contains values of a characteristic of a subject over time.
True
False
answer
True
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The estimation of which of the following requires sampling?
-The average SAT score of incoming freshmen at a university
-The Cleveland Indians' hitting percentage in 2010
-Total rainfall in Phoenix, Arizona in 2010
-U.S. unemployment rate
answer
U.S. unemployment rate
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The probability that a normal random variable is less than its mean is ___.
-1.0
-0.0
-Cannot be determined
-0.5
answer
0.5
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What does it mean when we say that the tails of the normal curve are asymptotic to the x axis?
-The tails get closer and closer to the x axis and eventually cross this axis.
-The tails get closer and closer to the x axis but never touch it.
-The tails get closer and -closer to the x axis and eventually become this axis.
-The tails gets closer and closer to the x axis and eventually touch it.
answer
The tails get closer and closer to the x axis but never touch it.
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A discrete random variable X may assume an (infinitely) uncountable number of distinct values.
True
False
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False
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According to the central limit theorem, the distribution of the sample means is normal if _______________.
-Both A and B are correct
-The underlying population is normal
-The sample size n (greater than or equal to) 30
-If the standard deviation of the population is known
answer
The sample size n (greater than or equal to) 30
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For an experiment in which a single die is rolled, the sample space may be {1, 1, 2, 3, 4, 5}.
True
False
answer
False
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San Francisco 49ers linebacker Patrick Willis won the Defensive Rookie of the Year Award in 2007 with a total of 174 tackles. Tackles are measured on what kind of a scale? Is a variable measuring the number of tackles considered continuous or discrete?
-Interval scale; continuous
-Ratio scale; continuous
-Interval scale; discrete
-Ratio scale; discrete
answer
Ratio scale; discrete
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The Sharpe ratio measures
-The extra variance per unit of reward
-The extra risk per unit of reward
-The extra reward per unit of risk
-The increase in mean per unit of risk
answer
The extra reward per unit of risk
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Subjective probability is assigned to an event by drawing on logical analysis.
True
False
answer
False
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Which of the following is correct?
-A discrete random variable has a probability mass function but not a cumulative distribution function.
-A continuous random variable has a probability mass function, and a discrete random variable has a probability density function.
-A continuous random variable has a probability density function, and a discrete random variable has a probability mass function.
-A continuous random variable has a probability density function but not a cumulative distribution function.
answer
A continuous random variable has a probability density function, and a discrete random variable has a probability mass function.
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A consumer who is risk averse is best characterized as _______________.
-A consumer who demands a positive expected gain as compensation for taking risk
-A consumer who completely ignores risk and makes his/her decisions based solely on expected values
-None of the above
-A consumer who may accept a risky prospect even if the expected gain is negative
answer
A consumer who demands a positive expected gain as compensation for taking risk
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Sampling allows researchers to draw conclusions about the population.
True
False
answer
True
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Sampling is used heavily in manufacturing and service settings to ensure high-quality products. In which of the following areas would sampling be inappropriate?
-Computer assembly
-Technical support by phone
-Custom cabinet making
-Cell phone manufacturing
answer
Custom cabinet making
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If Y=e^x has a lognormal distribution, what can be said of the distribution of the random variable X?
-X follows an exponential distribution.
-X follows a standard normal distribution.
-X follows a normal distribution.
-X follows a continuous uniform distribution.
answer
X follows a normal distribution.
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Permutations are used when the order in which different objects are arranged matters.
True
False
answer
True
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Which of the following represents an empirical probability?
-The probability of tossing a head on a coin is 0.5.
-The probability of rolling a 2 on a single die is 1 in 6.
-Based on past observation, a manager believes there is a 3-in-5 chance of retaining an employee for at least one year.
-A skier believes she has a 0.10 chance of winning a gold medal.
answer
Based on past observation, a manager believes there is a 3-in-5 chance of retaining an employee for at least one year.
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The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is ____________.
-1/(b - a) between a and b, and zero otherwise
-(b - a)/2 between a and b, and zero otherwise
-1/(a + b) between a and b, and zero otherwise
-(a + b)/2 between a and b, and zero otherwise
answer
1/(b - a) between a and b, and zero otherwise