Question

With all the fad diets advertised on TV, a researcher wanted to know if there was a significant difference in weight loss depending on which new fad diet you were on. Over the course of 2 weeks, a total of 12 male volunteers who weighed the same and had similar lifestyles were broken up into 3 groups: Diet 1, Diet 2, and Diet 3. Conduct an ANOVA on the following table with alpha = 0.5 to determine if at least one of the diets has significantly different weight loss compared to the other two. Diet 1 -1 5 3 4 Diet 2-13 12 8 3 Diet 3-6 2 1 2 1.

SS df MS F

Between

Within 85.5

Total 182

5.What is SS between? a. 45 b.104 c.149 d. 96.5

6. What is MS between? a. 5 b. 34.667 c.11 d. 48.25

7. What is MS within? a. 9.5 b. 34.667 c. 13 d. 5

8. What is the F test statistic? a. 10.4 b. 5.0789 c. 4.2565 d. 1.541

Answer 1

With all the fad diets advertised on TV, a researcher wanted to know if there was a significant difference in weight loss depending on which new fad diet you were on. Over the course of 2 weeks, a total of 12 male volunteers who weighed the same and had similar lifestyles were broken up into 3 groups: Diet 1, Diet 2, and Diet 3. Conduct an ANOVA on the following table with alpha = 0.5 to determine if at least one of the diets has significantly different weight loss compared to the other two. Diet 1 -1 5 3 4 Diet 2-13 12 8 3 Diet 3-6 2 1 2 1.

ANOVA table
Source	SS	df	MS	F
Between	96.50	2	48.250	5.0789
Within(Error)	85.50	9	9.500
Total	182.00	11

5.What is SS between? d. 96.5

6. What is MS between? d. 48.25

7. What is MS within? a. 9.5

8. What is the F test statistic? b. 5.0789