A researcher is interested in the effects of family size on leisure time. He questions 16 families on the number of "free hours per week." He polls four families at each size, from one to four children. The data are as follows:
1 Child 2 Children 3 Children 4 Children
10 8 5 4
8 8 6 5
9 6 7 2
10 9 9 2
9. Calculate the total sum of squares.
10. Calculate the within-groups sum of squares.
11. Calculate the between-groups sum of squares.
12. Calculate the mean square between groups (MSbetween).
13. Calculate the mean square within groups (MSwithin).
14. Calculate the F ratio.
15. Are your results statistically significant, and if so, at what level?
16. What are your conclusions about the null hypothesis?
9. 101
10. 23
11. 78
12.
13.
14.
15. Significant at the .01 level
16. The null hypothesis is rejected. There is a relationship between family size and leisure time.
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