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Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard...

Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. c=0.95​, s=39​, n=16

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Expert Solution

95% confidence interval for 2 is  

(n-1) S2 / /2 < 2 < (n-1) S2 / 1-/2

(16-1) * 392 / 27.488 < 2 < (16 - 1) * 392 / 6.262

829.9985 < 2 < 3643.4047

95% CI for 2 is ( 829.9985 , 3643.4047)

b)

95% confidence interval for is  

Sqrt [ (n-1) S2 / /2] < < Sqrt [ (n-1) S2 / 1-/2 ]  

Sqrt [ (16-1) * 392 / 27.488 ] < < Sqrt [ (16 - 1) * 392 / 6.262 ]

28.8097 < < 60.3606

95% CI for is ( 28.8097 , 60.3606 )

orchestra answered 2 years ago
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