40 If X1, , Xn is a sample from a normal population, explain how to obtain a 100(1 ) percent confidence interval for the population variance 2 when the population mean is known Explain in what sense knowledge of improves the interval estimator compared with when it is unknown Repeat Problem 38 if it is known that the mean burning time is 53 6 seconds

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Question: 40. If X1, . . . , Xn is a sample from a normal population, explain how to obtain a 100(1 ) percent confidence

40. If X1, . . . , Xn is a sample from a normal population, explain how to obtain a 100(1 − α) percent confidence interval for the population variance σ2 when the population mean μ is known. Explain in what sense knowledge of μ improves the interval estimator compared with when it is unknown.

Repeat Problem 38 if it is known that the mean burning time is 53.6 seconds.

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