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 not equal to -23.5.
| x | 60 | 62 | 46 | 45 | 37 | 45 | 46 | 46 |
|---|
| y | 79 | 77 | 75 | 86 | 83 | 71 | 76 | 77 |
|---|
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 not sufficient evidence tosupport the claim that the mean difference is notequal to -23.5
- There is sufficient evidence to warrantrejection the claim that the mean difference isnot equal to -23.5
- There is not sufficient evidence to warrantrejection the claim that the mean difference isnot equal to -23.5
- There is sufficient evidence tosupport the claim that the mean difference is notequal to -23.5
