Question

Construct the confidence interval for the population variance for the given values. Round your answers to...

Construct the confidence interval for the population variance for the given values. Round your answers to one decimal place.

n=5, s2=21.2, and c=0.98

Homework Answers

Answer #1

Solution :

Given that,

Point estimate = s2 = 21.2

2L = 2/2,df = 13.277

2R = 21 - /2,df = 0.297

The 98% confidence interval for 2 is,

(n - 1)s2 / 2/2 < 2 < (n - 1)s2 / 21 - /2

4 * 21.2 / 13.277 < 2 < 4 * 21.2 / 0.297

6.4 < 2 < 285.4

(6.4 , 285.4)

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