Question

In seeking to debunk the “empty nest” myth, researchers hypothesized that marital satisfaction among women would increase after their children moved out. To test this hypothesis, they collected data on marital satisfaction from 61 women at two time points: 1 year before children moved out and 1 year after children moved out. They observed that the average marital satisfaction among women at time 1 was 6.2 and the average marital satisfaction among women at time 2 was 6.8. The sum of squares for the difference scores (SS_D) was 210. Use the critical-value approach for a dependent samples t-test (where α = .01) to determine if there is a significant increase in marital satisfaction among women after children move out.

      8.      Identify the alternative hypothesis

      9.      List your degrees of freedom

      10.  List your estimated standard error

      11.  List your t test statistic (where: Time 2 – Time 1)

      12.  List your critical t value(s)

      13.  Is the increase in marital satisfaction among women following children moving out statistically significant? (Yes/No)

      14.  Calculate Cohen’s d for the difference in marital satisfaction

Answer 1

Here we have

The standard deviation is

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10:The estimated standard error is

      11.  List your t test statistic (where: Time 2 – Time 1): 0.60

      12.  List your critical t value(s): 2.39

      13.  Is the increase in marital satisfaction among women following children moving out statistically significant? Yes

      14.  Calculate Cohen’s d for the difference in marital satisfaction:

It is medium effect.