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 (m y) is not equal to 26.1. x 61 69 25 55 22 44 y 32 18 28 32 34 25 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 value{s} used to test this claim at the 0.01 significance level. If there are two critical values, then list them both with a comma between them. Critical value{s} = [d] What is the correct conclusion of this hypothesis test at the 0.01 significance level? '3._:3' There is not sufficient evidence to support the claim that the mean difference is not equal to 26.1 'I._.i' There is sufficient evidence to warrant rejection the claim that the mean difference is not equal to 26.1 '3._:3' There is sufficient evidence to support the claim that the mean difference is not equal to 26.1 '3._:3' There is not sufficient evidence to warrant rejection the claim that the mean difference is not equal to 26.1