Question

For each of the cases that follow, identify the rejection region that should be used to test 2H 0 :σ 1 =σ 2 against H a :σ 2=σ 2 Assume that and ν 1 =8 and ν 2 =40

a. α=.20
b. α=.05
c α=.10
d. α=.02

Answer 1

The rejection region depends on the level of significance (alpha), and can be calculated to determine whether to reject the null hypothesis or not.

Step-by-step explanation:

The rejection region that should be used to test 2H0: σ1 = σ2 against Ha: σ2 ≠ σ2 depends on the given level of significance (alpha). Here are the rejection regions for each case:

a. α = 0.20: Reject H0 if the test statistic falls in the lower α/2 and upper 1-α/2 critical regions.

b. α = 0.05: Reject H0 if the test statistic falls in the lower α/2 and upper 1-α/2 critical regions.

c. α = 0.10: Reject H0 if the test statistic falls in the lower α/2 and upper 1-α/2 critical regions.

d. α = 0.02: Reject H0 if the test statistic falls in the lower α/2 and upper 1-α/2 critical regions.