A researcher wanted to observe the effect of three different

A researcher wanted to observe the effect of three different treatments on a random sample of overweight people. He randomly assigned each participant to one of four groups (Hi-Carb, Low-Carb, No-Carb, Placebo), and measured the amount of weight loss each participant experienced by weighing them at the end of one month, and subtracting their initial weight at the beginning of the study. (The placebo group was given a diet plan which has been shown to have no effect on weight loss.)

Answer the following questions:

a.What are the null and alternative hypotheses the researcher is exploring here?

b.What are the assumptions that the researcher must make to analyze these data?

c.Perform a one-way ANOVA to analyze these data.

d.Based on an -level of 5%, what do you conclude?

The data collected appear below:

Hi-Carb

Low-Carb

No-Carb

Placebo

10

12

25

2

3

-2

18

5

6

11

17

3

-7

15

30

0

5

18

11

-14

Solution

Sol)

H0: All the groups are equal means

H1: All the groups are not equal

B) Assumptions:

C)

we perform Anova one way

from excel

Hence F=8.03

Conclusion: P value=0.00175 and alpha=0.05

P < alpha , wereject the null hypothesis. Hence we conclude that the results are significant