In: Statistics and Probability
7. 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 |
6 | 5 |
4 | 6 |
7 | 5 |
6 | 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.) ___
Answer 7A)
At 0.05 level of significance, there is not enough eviidence to reject the claim that mean ratings differ.
The value of the test statistic is 1.085
Answer 7B)
The formula for Eta squared is as follows:
Eta-squared = 1.085^2/(1.085^2+6-1)
Eta-squared = 0.19