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In a test of weight loss programs, 93 subjects were divided such that 31 subject

ID: 3202802 • Letter: I

Question

In a test of weight loss programs, 93 subjects were divided such that 31 subjects follwed each of 3 diets. Each was weighed a year after starting the diet and the results are in the Anova table below. Use a 0.05 significance level to test the claim that the mean weight loss is the same for different diets.

Source of variation         SS                        df          MS                                       F                          P-value                            F crit

Between Groups            129.948                 2        64.97400                                   1.9811                0.143886                          3.097698

Within Groups                 2951.724             90        32.79693       

Total                                 3081.672              92

Should the null hypothesis that all the diets have the same mean weight loss be rejected?

YesYes,

because the P-value is

greater thangreater than

the significance level.

B.

NoNo,

because the P-value is

less thanless than

the significance level.

C.

YesYes,

because the P-value is

less thanless than

the significance level.

D.

NoNo,

because the P-value is

greater thangreater than

the significance level.

Explanation / Answer

Answer is No

Expalnation:

null hypothesis: all the diets have the same mean weight loss

Alternative hyp: all the diets have the different mean weight loss

P value =0.143886

alpha= 0.05

P > 0.05 we donot reject the H0.

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