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Calculate the two-sided 99% confidence interval for the population standard deviation (sigma) given that a sample...

Calculate the two-sided 99% confidence interval for the population standard deviation (sigma) given that a sample of size n=15 yields a sample standard deviation of 13.48.

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Answer #1

given data are:-

sample size (n) = 15

sample sd (s) = 13.48

the chi square critical values are:-

excel function critical value
=CHISQ.INV.RT(0.005,14) 31.31935
=CHISQ.INV.RT(0.995,14) 4.074675

the 99% confidence interval for the population standard deviation be:-

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