Consider the hypothesis test H0: μ1=μ2 against H1: μ1 ≠ μ2. Suppose that sample sizes n1= 11, n2= 16, ̄x1= 4.7, ̄x2= 7.8 ,s1= 5.5, s2= 4.9, and both distributions arenormal with equal variance. Use α=...

Consider the hypothesis test H0: μ1=μ2 against H1: μ1 ≠ μ2. Suppose that sample sizes n1= 11, n2= 16, ̄x1= 4.7, ̄x2= 7.8 ,s1= 5.5, s2= 4.9, and both distributions arenormal with equal variance. Use α= 0.05.

(a)Find the rejection region for testing the hypothesis.

(b) Test the hypothesis using p-value.

(c) Test the hypothesis using confidence interval.