Question

1. Three different diet plans are to be tested for mean weight loss. The entries in the table are the weight losses for the different plans.

Plan 1                                   Plan 2                       Plan 3

7                                                   6                                     4

3                                                   5                                     7          

6                                                   5                                     6

6                                                   8                                     7          

Test at α = 0.05 if the average weight loss is the same for the 3 different plans.

Consider the assumptions needed to perform an Analysis of variance are met.

Answer 1

H0: There is no significance difference among the means of three groups

H1: At least two significance difference means are different

Let the los be alpha = 5%

From the given data

		Total	Ti^2/ni
Plan 1	7	3	6	6	22	121
Plan 2	6	5	5	8	24	144
Plan 3	4	7	6	7	24	144
				Total G	70	409

Test Statistic F = 0.14

P-value = 0.869

since P-value > alpha 0.05 so we accept H0

Thus we conclude that there is no significance difference among the means of three groups (three plans)