In: Math
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 |
5 | 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.)
MINITAB OUTPUT
Paired T-Test and CI: X, Y
Paired T for X - Y
N Mean StDev SE Mean
X 6 6.167 1.329 0.543
Y 6 5.333 0.516 0.211
Difference 6 0.833 1.602 0.654
95% CI for mean difference: (-0.848, 2.515)
T-Test of mean difference = 0 (vs ≠ 0): T-Value = 1.27 P-Value =
0.259