Question

In: Statistics and Probability

A researcherr conductedd a studyy on three differentt dietss to determine the average weightt loss (in...

A researcherr conductedd a studyy on three differentt dietss to determine the average weightt loss (in pounds) for each diet. At the 0.05 level of significance, can it be concludedd that the average weight loss of all three diets is the same? Show your work to receive credit. (If you run out of space, use another page).

Diet 1 Diet 2 Diet 3

537 742 285 763 46

?1 = 5

?2 = 4

?3 = 5

̅̅̅
?1 = 5

̅̅̅
?2 = 5.25

̅̅̅
?3 = 4.6

?2 = 2.12 1

?2 = 2.22 2

?2 = 2.07 3

Solutions

Expert Solution

Answer:

To test, H0:Means are equal

H1:At least one inequality exist.

Group 1,Group 2,Group 3 means Diet 1,Diet 2 and Diet 3

Reject H0 iff p value is less than =0.05

p value=0.899> 0.05

Hence we fail to reject the null hypothesis and conclude that the means are not different

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