The two data sets in the table below are dependent randomsamples. The population of (x?y)(x-y) differences is approximatelynormally distributed. A claim is made that the mean difference(x?y)(x-y) is greater than 17.9.

x	67	79	68	52	56	78	78	78
y	30	50	32	49	31	51	37	35

For each part below, enter only a numeric valuein the answer box. For example, do not type "z =" or"t =" before your answers. Round each of your answers to3 places after the decimal point.

(a) Calculate the value of the test statisticused in this test.

     Test statistic's value =

(b) Use your calculator to find theP-value of this test.

     P-value =

(c) Use your calculator to find the criticalvalue(s) used to test this claim at the 0.04significance level. If there are two critical values, thenlist them both with a comma between them.

     Critical value(s) =

(d) What is the correct conclusion of this hypothesis test atthe 0.04 significance level?     

• There is sufficient evidence to warrantrejection the claim that the mean difference isgreater than 17.9
• There is not sufficient evidence tosupport the claim that the mean difference isgreater than 17.9
• There is not sufficient evidence to warrantrejection the claim that the mean difference isgreater than 17.9
• There is sufficient evidence tosupport the claim that the mean difference isgreater than 17.9