In: Statistics and Probability
A psychologist wants to know whether wives and husbands who both serve in a foreign war have similar levels of satisfaction in their marriage. To test this, six married couples currently serving in a foreign war were asked how satisfied they are with their spouse on a 7-point scale ranging from 1 (not satisfied at all) to 7 (very satisfied). The following are the responses from husband and wife pairs.
| Married Couples | |
|---|---|
| Wife | Husband |
| 7 | 5 |
| 4 | 6 |
| 7 | 5 |
| 7 | 6 |
| 7 | 5 |
| 6 |
5 |
(a) Test whether or not mean ratings differ at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)
(b) Compute effect size using eta-squared. (Round your answer to two decimal places.)
Let us denote the difference
d = rating for Wife - rating for Husband
a)

The value of the test statistic = 1.581