Statistics

1)Suppose you want to test the claim that mean 1 < mean 2. Two samples are randomly selected from each population. The sample statistics are given below. At a level of significance of = 0.05, when should you reject H0?

A. Reject H0 if the standardized test statistic is less than -1.96.

B. Reject H0 if the standardized test statistic is less than -1.645.

C. Reject H0 if the standardized test statistic is less than -2.33.

D. Reject H0 if the standardized test statistic is less than -2.575

2)Test the claim that 1 < 2. Two samples are randomly selected from each population. The sample statistics are given below. Use = 0.05.

n1=35 n2=42
x1=28.1899997 x2=30.7400008
s1=2.9 s2=2.8

A.
critical value zo = -1.96; standardized test statistic = -3.90; accept Ho; There is not sufficient evidence to support the claim.

B. critical value z0 = -1.65; standardized test statistic -3.90; reject H0; There is sufficient evidence to support the claim.

C. critical value zo = - 2.58; standardized test statistic = -1.90; accept Ho; There is not sufficient evidence to support the claim.

D.
critical value zo = -1.65; standardized test statistic = -3.90; reject Ho; There is not sufficient evidence to support the claim