MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

**Answer the question True or False.**

1) A point estimator of a population parameter is a rule or formula which tells us how to use sample data to calculate a single number that can be used as an estimate of the population parameter.

A) True B) False

2) A statistic is biased if the mean of the sampling distribution is equal to the parameter it is intended to estimate.

A) True B) False

**Solve the problem.**

3) Which of the following describes what the property of unbiasedness means?

A) The sampling distribution in question has the smallest variation of all possible sampling distributions.

B) The center of the sampling distribution is found at the population standard deviation.

C) The center of the sampling distribution is found at the population parameter that is being estimated.

D) The shape of the sampling distribution is approximately normally distributed.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

4) Consider the population described by the probability distribution below.

a. Find μ.

b. Find the sampling distribution of the sample mean *x *for a random sample of *n *= 2 measurements from the distribution.

c. Show that *x *is an unbiased estimator of μ.

5) Consider the population described by the probability distribution below.

a. Find σ2.

b. Find the sampling distribution of the sample variance *s*2 for a random sample of *n *= 2 measurements from the distribution.

c. Show that *s*2 is an unbiased estimator of σ2.

6) Consider the population described by the probability distribution below.

a. Find μ.

b. Find the sampling distribution of the sample median for a random sample of *n *= 2 observations from this population.

c. Show that the median is an unbiased estimator of μ.

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