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? Â Â Â Â
- 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
