Consider the hypothesis test h0: μ1=μ2 against h1: μ1> μ2. suppose the sample size n1=10 and n2=10, thatx-bar1=7.8 and x-bar2=5.6 and that s^2 1=4 and s^2 2=9. assume thatσ^2 1=σ^2 2 and that the data are drawn from normaldistributions. use α=.05a. test the hypothesis and find the p-valueb. explain how the test could be conducted with a confidenceintervalc. what is the power of the test in part a if μ1 is 3 unitsgreater than μ2? d. assuming equal sample sizes, what sample size should be used toobtain β=.05 in μ1 is 3 units greater than μ2? assumethat α=.05