You wish to test the following claim Ha about the difference

Last updated: 11/27/2023

You wish to test the following claim Ha about the difference of means for two matched samples at a significance level of a 0 001 For the context of this problem one data set represents a pre test and the other data set represents a post test Ho Pa 0 Ha Hd 0 You believe the population of difference scores is normally distributed but you do not know the standard deviation You obtain pre test and post test samples for n 43 subjects The average difference post pre is d 14 2 with a standard deviation of the differences of sd 38 8 a What is the test statistic for this sample test statistic 2 399 o Round to 4 decimal places b What is the p value for this sample Round to 4 decimal places p value 0 0097 X c The p value is less than or equal to a greater than a d This test statistic leads to a decision to reject the null O accept the null O fail to reject the null e As such the final conclusion is that There is sufficient evidence to warrant rejection of the claim that the mean difference of post test from pre test is less than 0 O There is not sufficient evidence to warrant rejection of the claim that the mean difference of post test from pre test is less than 0 The sample data support the claim that the mean difference of post test from pre test is less than 0