A researcher wanted to observe the effect of three different treatments on a ran
ID: 3390650 • Letter: A
Question
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
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
Explanation / Answer
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
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Hi-Carb 5 17 3.4 40.3 Low-Carb 5 54 10.8 58.7 No-Carb 5 101 20.2 54.7 Placebo 5 -4 -0.8 57.7 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1273.2 3 424.4 8.030274 0.001725 3.238872 Within Groups 845.6 16 52.85 Total 2118.8 19Related Questions
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