Question

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

n=5, s=4.3, and c=0.95

Answer 1

Solution :

Given that,

s = 4.3

s² = 18.49

²_L = ²_/2,df = 11.143

²_R = ²_{1 - /2,df} = 0.484

The 95% confidence interval for is,

(n - 1)s² / ²_/2 < < (n - 1)s² / ²_{1 - /2}

  4 * 18.49 / 11.143 < < 4 * 18.49 / 0.484

2.6 < < 12.4

(2.6 , 12.4)