a) what is test statistics for the sample?b) what is the p value for the sample ?C) less than or greater than ? d) decision?e) conclusion?

You wish to test the following claim [Ha) at a significance level of a = U.US. a denotes the mean of the difference between pre-test and post-test scores. Hold = 0 Haila # 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: post-test pre-test 52.1 44.7 85.9 33 43.6 59 24.7 0.4 79.2 78.3 35.5 11.2 74.3 116.2 64.7 3 63.6 26.8 44 -3 40.4 -16.3 59.3 73.3 57.2 0.5 61.6 57.7 53.6 0.7 81.8 104.1 37.3 -0.40000000000001 . Make sure to choose the appropriate column for Sample 1 and 2 so that you are estimating the improved post-test score: pre-test - post-test, /2 - /1 a. What is the test statistic for this sample