## Related questions with answers

What does the sampling distribution of the sample variance look like if we sample from a population with an approximately normal distribution? Find out using the applet Sampling Distribution of the Variance (Mound Shaped Population) (at academic.cengage.com/statistics/wackerly) to complete the following. In the previous exercises in this section, you obtained simulated sampling distributions for the sample mean. All these sampling distributions were well approximated (for large sample sizes) by a normal distribution. Although the distribution that you obtained is mound-shaped, does the sampling distribution of the sample variance seem to be symmetric (like the normal distribution)?

Solution

VerifiedThe sampling distribution of the sample variance does not seem to be as symmetric, because the sampling distribution of the sample variance will take on the shape of the population variance, but will not become more normal as the sample size increases.

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