Question 1:

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance . Left-tailed test, n = 15, = 0.05

A.) 2 0 = 5.629; 2 < 5.629

B.) 2 0 = 4.075; 2 < 4.075

C.) 2 0 = 6.571; 2 < 6.571

D.) 2 0 = 4.660; 2 < 4.660

Question 2:

Find the standardized test statistic, t, to test the hypothesis that _{1 2}. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.

n₁= 11 n₂= 18

_x1= 2.8 x₂= 3.2

s₁= 0.76 s₂= 0.51

A.) -1.546

B.) -1.821

C.)-1.326

D.) -2.123

Question 3:

Suppose you want to test the claim that _{1 2}. Assume the two samples are random and independent. At a level of significance of = 0.02, when should you reject H₀?

Population statistics: ₁= 0.76 and ₂= 0.51

Sample statistics: x₁= 1.8, n₁= 51 and x₂= 2.2, n₂= 38

A.) Reject H₀if the standardized test statistic is less than -1.645 or greater than 1.645.

B.)Reject H₀if the standardized test statistic is less than -1.96 or greater than 1.96.

C.) Reject H₀if the standardized test statistic is less than -2.575 or greater than 2.575.

D.) Reject H₀if the standardized test statistic is less than -2.33 or greater than 2.33.