Suppose Mi-Young wants to estimate the mean salary for state employees in North

Question

Suppose Mi-Young wants to estimate the mean salary for state employees in North Carolina. She obtains a list of all state employees and randomly selects 18 of them. She plans to obtain the salaries of these 18 employees and construct a t-confidence interval for the mean salary of all state employees in North Carolina.

Have the requirements for a one-sample tconfidence interval for a mean been met?

The requirements have not been met because:

A.the sample is random.

B.the population is normal.

C.the sample size is too small.

D.the sample size is large enough.

E.the population standard deviation is known.

F.the population is not normal.

G.the population standard deviation is not known.

H.the sample is not random.

Explanation / Answer

In the problem, the assumption of normality has not been stated, so it appears that normality can not be assumed. Constructing confidence intervals requires the assumption of normality of the population.

Answer: F.the population is not normal.

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