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A random sample of 34 observations is used to estimate the population variance. The sample mean...

A random sample of 34 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 51.5 and 5.6, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table)

a. Construct the 90% interval estimate for the population variance.

b. Construct the 95% interval estimate for the population variance

Math   Statistics-And-Probability   
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Answer #1

The statistical software output for this problem is:

Hence,

a) 90% confidence interval for population variance:

21.83 to 49.60

b) 95% confidence interval for population variance:

20.40 to 54.33

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