True or false: To construct a confidence interval about a population variance or standard deviation, either the population from which the sample is drawn must be normal, or the sample size must be large.

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Part 1

Choose the best answer below.

A.

False. To construct a confidence interval about a population variance or standard deviation, the sample must come from a normally distributed population.

B.

True. To construct a confidence interval about a population variance or standard deviation, the population needs to be normal, or a large enough sample size needs to be take so the central limit theorem applies.

C.

False. To construct a confidence interval about a population variance or standard deviation, the sample must come from a population that follows the chi-square distribution.

D.

False. To construct a confidence interval about a population variance or standard deviation, the sample size must be large regardless of the distribution of the population.