Question

Application Exercise:
A nutritionist is interested in the relationship between cholesterol and diet. The nutritionist developed a non-vegan and vegan diet to reduce cholesterol levels. The nutritionist then obtained a sample of clients for which half are told to eat the new non-vegan diet and the other half to eat the vegan diet for two months. The nutritionist hypothesizes that the non-vegan diet will increase cholesterol levels more. What can be concluded with an α of 0.05. Below are the cholesterol levels of all the participants after two months.

non-vegan	vegan
106 121 141 146 156 196 106 106	126 171 196 111 231 256 131 196

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 vegan months non-vegan diet
Condition 2:
---Select--- cholesterol level vegan months non-vegan diet

c) Obtain/compute the appropriate values 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.

The non-vegan diet had significantly higher cholesterol levels than the vegan diet.

The non-vegan diet had significantly lower cholesterol levels than the vegan diet.     

There was no significant cholesterol difference between the non-vegan and vegan diets.

Answer 1

a) What is the appropriate test statistic?

Independent-Samples t-test

c) Obtain/compute the appropriate values to make a decision about H₀.

d) If appropriate, compute the CI.

Confidence Interval

The 95% confidence interval is −88.737<μ1​−μ2​<3.737.

f) Make an interpretation based on the results.

There was no significant cholesterol difference between the non-vegan and vegan diets.