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What is different about the normality requirement for a confidence interval esti

ID: 3360410 • Letter: W

Question

What is different about the normality requirement for a confidence interval estimate of sigma and the normality requirement for a confidence interval estimate of mu?

The normality requirement for a confidence interval estimate of sigma is ( less strict/ stricter) than the normality requirement for a confidence interval estimate of mu. Departures from normality have a (greater/ lesser) effect on confidence interval estimates of sigma than on confidence interval estimates of mu. That is, a confidence interval estimate of sigma is (more/less)

robust against a departure from normality than a confidence interval estimate of mu.

Explanation / Answer

The normality requirement for a confidence interval estimate of sigma is stricter than the normality requirement for a confidence interval estimate of mu. Departures from normality have a greater effect on confidence interval estimates of sigma than on confidence interval estimates of mu. That? is, a confidence interval estimate of sigma is more robustagainst a departure from normality than a confidence interval estimate of mu

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