Question

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.

(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.)

Married Couples
Wife	Husband
5	4
3	5
5	4
6	5
6	4
5	4

Answer 1

a)

from above value of the test statistic t =1.348

fail to reject the null hypothesis

b)

effect size =η2=ω2=t2/(t2+df) =

0.15