Answer to Question #308507 in Statistics and Probability for Aarti

Question

A health scientist has created three different diet plans for a weight loss program. He conducted an experiment with 24 volunteers to see the impact on weight loss. He measured the weights of the volunteers before the start of the diet plan. Then they were assigned to one specific diet plan for a month. After one month their weights were measured again. The differences in weights are given in the table below for each of the diet plans. Read data table and answer the questions.

Table (3Rows/8 columns)

DietPlan1|DietPlan2|DietPlan3

2 -2.1 7

8.5 2 5.6

1.9 1.7 3.4

3.1 4.3 6.8

1.5 7 7.8

3 0.6 5.4

0.9 2.7 6.8

2.8 2 5

a. Conduct ANOVA on the above table. Do you find a significant difference in weight loss due to the three diet plans?

Explain and interpret using both the p-value and F-critical value from the output. Use MS-Excel for the analysis.

b. Why do you think ANOVA is required to answer this question?

   

Answer 1

The answer to your question is provided in the image: