Suppose you have the following pretest in post test scores for a random sample of 5 students. We would like to carry out AT test for the population mean difference calculate the point estimate. If the null hypothesis is true the T test statistic follows AT distribution how many degrees of freedom does it have

Suppose you have the following pre-test and post-test scores for a random sample of five students. Student N Pre-test 59 55 52 61 51 Post-test 90 86 83 78 We would like to test the hypotheses H : At = 0 verses H_: u > 0, where u = the mean difference in pre-test and post-test scores for all stud (a) We would like to carry out a t test for the population mean difference. Calculate the point estimate. (b) If the null hypothesis is true, the t test statistic follows a t distribution, How many degrees of freedom does it have