Question

Find the critical values chi squared Subscript 1 minus alpha divided by 2 and chi squared Subscript alpha divided by 2 for a 99​% confidence level and a sample size of nequals20.

Answer 1

Solution :

Given tha

n = 20

Degrees of freedom = df = n - 1 = 20 - 1 = 19

At 99% confidence level the t is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

  =  / 2 = 1 - 0.005 = 0.995

Using Chi - Square table

² _{0 .005 , 19 = 38.58}

^{2 _{0.995 , 19 =}} 6.842

The critical value of chi - square is ( 38.58 , 6.842 )