Given the following null and alternative hypotheses H 0 : µ 1 - µ 2 = 0 H A : µ 1 - µ 2 ≠ 0 and the following sample information Sample 1 Sample 2 n 1 = 125 n 2 = 120 s 1 = 31 s 2 = 38 x 1 = 130 x 2 =...

1. Given the following null and alternative hypotheses

 H₀: µ₁
- µ₂
= 0

 H_A: µ₁
- µ₂
≠ 0

  and the following sample information

Sample 1          Sample 2

n₁
= 125            n₂
= 120

s₁
= 31              s₂
= 38

x₁
= 130            x₂
= 105

1. Develop the appropriate decision rule, assuming a significance level of 0.05 is to be used.


2. Test the null hypothesis and indicate whether the sample information leads you to reject or fail to reject the null hypothesis. Use the test statistic approach.