Question

Suppose you want to test the claim that µ1 < µ2. Two samples are randomly selected from each population. The sample statistics are given below. At a level of significance of α = 0.05, when should you reject H0?
n1 = 35              n2 = 42
x̅1 = 29.05         x̅2 = 31.6
s1 = 2.9              s2 = 2.8

Suppose you want to test the claim that u1<p2. 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 HO? n1-35 n2-42 X1 - 29.05 X2 - 31.6 51 - 2.9 s2 - 2.8 Reject Ho if the standardized test statistic is less than-1.645. Reject HO if the standardized test statistic is less than-2.33. Reject Ho if the standardized test statistic is less than-2.575. Reject HO if the standardized test statistic is less than-1.96.

Answer 1

Answer:

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

Explanation:

We are given

Test is lower tailed test.

α = 0.05

n1, n2 > 30, so we use z-table for finding critical value.

So, corresponding critical z value is -1.645.