Question

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

n=3 , s=7.1 , and c=0.98

Answer 1

df = n -1 = 3 - 1 = 2

Chi-square critical value at 0.02 significance level with 2 df = L = 0.02 , R = 9.21

98% confidence interval for ​​​​​​ is

Sqrt [ (n-1) S² / R) ] < < Sqrt [ (n-1) S² / L) ]

sqrt [ (3-1) * 7.1² / 9.21 ] < < sqrt [ (3-1) * 7.1² / 0.02 ]

3.3 < < 71.0

98% CI for is ( 3.3 , 71.0)