Psychology graduate student wants to test whether there is a significant difference between the IQs of spouses. To test this claim, a standard IQ test was administered. The results of the IQ tests are listed in the following table. Using a significance level of 0.05, test the claim that there is a significant difference between the IQs of spouses. Assume that the population distribution of the paired differences of IQ scores is approximately normal. Let the null hypothesis be that there is no significant difference between the IQs of spouses. Assuming that the population distribution of the paired differences of IQ scores is approximately normal, is there enough evidence to reject the null hypothesis and conclude that there is a significant difference between the IQs of spouses?
Table: IQ Scores of Married Couples
Group 1: Husband
Group 2: Wife
Compute the sample mean difference. Round your answer to three decimal places.
Sample Mean Difference:
Compute the sample standard deviation of the differences. Round your answer to three decimal places.
Sample Standard Deviation of Differences:
Use the t-table to find the critical value. Round your answer to three decimal places.
Critical Value:
Compute the test statistic. Round your answer to three decimal places.
Test Statistic:
Compare the test statistic to the critical value and make a conclusion. State your conclusion in the context of the problem.
Conclusion: