The two data sets in the table below are dependent random samples. The population of (m y} differences is approximately normally distributed. A claim is made that the mean difference (3 y} is greater than -22.8. 38 29 36- 50 51 51 43 131 33 28 152 44 42 35 26 49 x J" For each part below. enter only a numeric value in the answer box. For example, do not type "2 =" or "t =" before your answers. Round each of your answers to 3 places after the decimal point. [a} Calculate the value of the test statistic used in this test. Test statistic's value = [b] Use your calculator to find the P-value of this test. P-value = [c] Use your calculator to find the critical valuels} used to test this claim at the 0.05 significance level. If there are two critical values, then list them both with a comma between them. Critical valuefs} = [d] What is the correct conclusion of this hypothesis test at the 0.05 significance level? 'ilj' There is not sufficient evidence to support the claim that the mean difference is greater than -22.8 '3' There is sufficient evidence to support the claim that the mean difference is greater than -22.3 '1} There is not sufficient evidence to warrant rejection the claim that the mean difference is greater than 22.8 '3:_:3' There is sufficient evidence to warrant rejection the claim that the mean difference is greater than -22.El