Suppose a researcher was interested in knowing whether “the combination of nutri

Question

Suppose a researcher was interested in knowing whether “the combination of nutrition and exercise” or an “exercise intervention only” would reduce the weight (kg, after 3 months) compared to no intervention. She presented the following data: (10 points)

Group

N

Mean (SD)
Weight Change (kg) from enrollment to 3 months

F-Ratio and
p-value

Multiple Comparisons   

Combination            Exercise only

Combination of nutrition and exercise

15

-6.8 (4.52)

F = 12.60 (p=.024)

Exercise only

15

-2.3 (2.42)

p = .024

No Treatment

15

-0.66 (2.82)

p = .036

p = .257

Which group had the largest mean weight change after three months? What is the evidence?

Also could you explain: Mean (SD) Weight Change (kg) from enrollment to 3 months = -6.8 (4.52).

Thanks

Group

N

Mean (SD)
Weight Change (kg) from enrollment to 3 months

F-Ratio and
p-value

Multiple Comparisons   

Combination            Exercise only

Combination of nutrition and exercise

15

-6.8 (4.52)

F = 12.60 (p=.024)

Exercise only

15

-2.3 (2.42)

p = .024

No Treatment

15

-0.66 (2.82)

p = .036

p = .257

Explanation / Answer

t = mean weight change/sd

for Combination of nutrition and exercise

= -6.8/4.52

= -1.504424

for Exercise only

t = 2.3/ (2.42)=0.950413

No Treatment

t = -0.66/ (2.82)

=-0.234042

Since maximum |t| = 1.504424

hence Combination of nutrition and exercise group had the largest mean weight change after three months

evidence -p-value is lowest 0.024

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