Question

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

Answer 1

Solution :

Given that,

s = 3.8

n = 6

df = 5

²_R = ²_/2,df = 15.086

²_L = ²_{1 - /2,df} = 0.554

The 98% confidence interval for is,

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

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

2.2 < < 11.4

( 2.2 , 11.4)