1. Find the standardized test statistic to test the claim that μ1>μ2. Two samples are randomly selected from each population. The sample statistics are given: n1=​100, n2=​125, x1=755​, x2=740​,...

σ2=25

2. Given H0​: μ=​25, Ha​: μ≠​25, and P=0.031. Do you reject or fail to reject H0 at the 0.01 level of​ significance?

3. 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=​0.02, when should you reject H0​?   n1=​51, n2=​38, x1=2​, x2=2.4​, σ1=​0.76, σ2=0.51