You wish to test the following claim Ha at a significance level of a 0 001 d denotes the mean of the difference between pre test and post test scores Ho Pd 0 Ha Pd 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 51 5 41 4 61 8 74 5 61 5 57 9 51 8 48 9 49 9 45 9 61 1 50 5 54 9 50 5 54 3 74 1 68 4 59 9 55 5 67 5 60 2 54 2 65 2 48 9 71 4 42 2 60 7 45 8 40 83 1 86 7 58 1 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 test statistic Round to 3 decimal places b What is the p value for this sample Round to 4 decimal places p value A c The p value is O less than or equal to a