Question

Consider the test of H0: σ2 = 7 against H1: σ2 ≠ 7. What are the critical values for the test statistic chi-square for the following significance levels and sample sizes? a) α=0.01andn=20    b) α=0.05andn=12    c) α=0.10andn=15

Answer 1

a) α=0.01 and n=20
Degree of freedom =n-1=20-1=19

.......................by using chi square critical value table or Excel command =CHIINV(1-(0.01/2),19)

............by using chi square critical value table or Excel command =CHIINV((0.01/2),19)

b) α=0.05 and n=12
Degree of freedom =n-1=12-1=11

c) α=0.10 and n=15
Degree of freedom =n-1=15-1=14