Section 9.3 Homework 

2.  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.

Choose the best answer below.

1. 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.
2. 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.
3. False. To construct a confidence interval about a population variance or standard​ deviation, the sample must come from a normally distributed population.
4. 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.