Question

7. Researchers followed a sample of 20 adults from their 30s into their 50s, recording whether they exercised regularly and if they followed a healthy diet. The researchers also measured the number of serious medical conditions the participants experienced. The researchers divided the sample into four conditions depending on their diet and exercise patterns.

Diet & Exercise	Only Exercise	Only Diet	Neither
1	1	8	10
0	7	14	15
6	7	12	19
5	1	17	12
3	4	9	19
SS = 26	SS = 36	SS = 54	SS = 66

1. Test the hypothesis that different patterns of diet and exercise lead to different amounts of serious medical conditions with alpha = .01. State the null & alternative hypotheses. Report your decision in a sentence.

2. Use the ANOVA table below to present the results of the ANOVA.

Source	SS	df	MS	F
Between
Within
Total

3. Find η² to determine the effect size. Report in a sentence what η² is telling us.

4. Use Tukey’s HSD to make all six comparisons between the lifestyles. For each of the six comparisons, report whether they are significantly different or not.

5. Based on your results, which lifestyle should people choose? Which ones should they avoid?

6. Use the Scheffe test to compare “Diet & Exercise” to “Only Diet” and report whether it is significantly different.

7. Use the Scheffe test to compare “Only Exercise” to “Only Diet” and report whether it is significantly different.

Answer 1