Assume that you have a sample of n1=8,with the sample mean Xbar1 = 42,and a sample standard deviation of S1 = 4,and you have an independent sample of n2 = 15 from another population with a sample mean of Xbar2 = 34 and the sample standard deviation S2 = 5.
(a) What is the value of the pooled-variance t STAT test statistics for testing H0:Mean1=mean2?
(b) In finding the critical value t alpha/2,how many degrees of freedom are there?
(c) Using the level of significance beta=0.01,what is the critical value for a one-tail test of the hypothesis Ho:mean1greater than mean 2?
(d) what is your statistical decision?