A psychology graduate student wants to test the claim that there is a significant difference between the IQs of spouses. To test this claim, she measures the IQs of 9 married couples using a standard IQ test. The results of the IQ tests are listed in the following table. Using a 0.01 level of significance, test the claim that there is a significant difference between the IQs assuming that the population distribution of the paired differences is approximatelynormal. Let the spouse 1 group be Population 1 and let the spouse 2 group be Population 2.
| Spouse 1 | 9898 | 110110 | 9999 | 119119 | 110110 | 118118 | 125125 | 112112 | 112112 |
|---|---|---|---|---|---|---|---|---|---|
| Spouse 2 | 9797 | 105105 | 104104 | 123123 | 115115 | 129129 | 127127 | 110110 | 113113 |
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Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in the blank below.
H0Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0
Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 3: Draw a conclusion and interpret the decision.