Question

A nutritionist is interested in the relationship between cholesterol and diet. The nutritionist developed a non-vegetarian and vegetarian diet to reduce cholesterol levels. The nutritionist then obtained a sample of clients for which half are told to eat the new non-vegetarian diet and the other half to eat the vegetarian diet for three months. The nutritionist hypothesizes that the non-vegetarian diet will reduce cholesterol levels more. What can the nutritionist conclude with α = 0.01. Below are the cholesterol levels of all the participants after three months.

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-test Related-Samples t-test

b)
Condition 1:
---Select--- cholesterol level non-vegetarian months diet vegetarian
Condition 2:
---Select--- cholesterol level non-vegetarian months diet vegetarian

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;  ---Select--- na trivial effect small effect medium effect large effect
r² =  ;  ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

Non-vegetarians had significantly higher cholesterol levels than vegetarians.

Non-vegetarians had significantly lower cholesterol levels than vegetarians.    

There was no significant cholesterol difference between non-vegetarians and vegetarians.

Answer 1