Arandom sample of 16 men have a mean height of 67.5 inches and a standard deviation of 2.22.2 inches. construct a 99% confidence interval for the population standard deviation, sigmaσ. assume the sample is from a normally distributed population.

Step-by-step explanation:

We know that the confidence interval for population standard deviation is given by :-

, where n= sample size

s = sample standard deviation.

 and = Chi-square critical value for degree of freedom (n-1) and significance level ().

Given :

n= 16

Critical ch-square values for degree of freedom 15 and will be :

Then , the required 99% confidence interval for the population standard deviation will be :

Hence, the a 99% confidence interval for the population standard deviation :

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step-by-step explanation:

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