Question

In: Statistics and Probability

Construct the confidence interval for the population standard deviation for the given values. Round your answers...

Construct the confidence interval for the population standard deviation for the given values. Round your answers to one decimal place. n=6, s=3.8, and c=0.98

Solutions

Expert Solution

Solution :

Given that,

s = 3.8

n = 6

df = 5

2R = 2/2,df = 15.086

2L = 21 - /2,df = 0.554

The 98% confidence interval for is,

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

  5 * 14.44 / 15.086 < < 5 * 14.44 / 0.554

2.2 < < 11.4

( 2.2 , 11.4)


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