Question

In: Statistics and Probability

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=13, s2=8.6, and c=0.98

Solutions

Expert Solution

Solution :

Given that,

Point estimate = s2 = 8.6

2R = 2/2,df = 26.217

2L = 21 - /2,df = 3.570

The 98% confidence interval for 2 is,

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

(12)(8.6) / 26.217 < 2 < (12)(8.6) / 3.570

3.9  < 2 < 28.9  

(3.9 , 28.9)


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