A nutritionist is interested in the relationship betweencholesterol and diet. The nutritionist developed a non-vegetarianand vegetarian diet to reduce cholesterol levels. The nutritionistthen obtained a sample of clients for which half are told to eatthe new non-vegetarian diet and the other half to eat thevegetarian diet for three months. The nutritionist hypothesizesthat the non-vegetarian diet will reduce cholesterol levels more.What can the nutritionist conclude with ? = 0.01. Below are thecholesterol levels of all the participants after threemonths.
non-
vegetarian |
vegetarian |
|---|
117
171
196
211
231
256
131
196 | 106
121
141
146
156
196
106
106 |
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-testRelated-Samples t-test
b)
Condition 1:
---Select--- cholesterol level non-vegetarian months dietvegetarian
Condition 2:
---Select--- cholesterol level non-vegetarian months dietvegetarian
c) Compute the appropriate test statistic(s) tomake a decision about H0.
(Hint: Make sure to write down the null and alternative hypothesesto help solve the problem.)
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
d) If appropriate, compute the CI. If notappropriate, input "na" for both spaces below.
[ , ]
e) Compute the corresponding effect size(s) andindicate magnitude(s).
If not appropriate, input and/or select "na" below.
d = ; ---Select--- na trivial effectsmall effect medium effect large effect
r2 = ; ---Select--- natrivial effect small effect medium effect large effect
f) Make an interpretation based on theresults.
Non-vegetarians had significantly higher cholesterol levels thanvegetarians.
Non-vegetarians had significantly lower cholesterol levels thanvegetarians.
There was no significant cholesterol difference betweennon-vegetarians and vegetarians.
