This problem is based on problems 11.1, 11.2, & 11.3 from Lomax & Hahs-Vaughn, 3rd ed.

A psychologist would like to know whether the season (autumn, winter, spring, and summer) has any consistent effect on people’s sexual activity.  In the middle of each sason, a psychologist selects a random sample of n=22\displaystyle {n}={22} students.  Each individual is given a sexual activity questionnaire.  A one-factor ANOVA was used to analyze these data.  Complete the following, ANOVA summary table (α=0.02\displaystyle \alpha={0.02}).
SourceSSdfMSFP
Between1.577
Within 1180.2
TOTAL


With the given significance level, what is the decision regarding the hypotheses?


What would you conclude about these treatments?