A researcher wants to find out if people have preferences in taste of three kinds of peanut butter (Brand A, Brand B, and Brand C). Eight participants are each asked to taste the three brands of peanut butter in random order. The participants are asked to rate the taste of each peanut butter on a 20-point scale (without knowing which brand is which). A high score is a more positive rating. Conduct the Friedman's Rank Test for kcorrelated samples (²_F) using an alpha of .05. Also, conduct a post hoc analysis using the Wilcoxon's Matched-Pairs Signed-Ranks Test.

ID	Brand A	Brand B	Brand C
1	8	3	2
2	15	14	4
3	16	17	12
4	7	5	4
5	9	3	6
6	8	9	4
7	10	3	4
8	12	10	2

Question 1: What is the independent variable in this second research problem?

Question 2: What is the dependent variable?

Question 3: What was the decision regarding the null hypothesis, H₀: ₁ = ₂= ₃?

Answers to choose from:

A) ² (N = 8, df = 2) = 9.000, p = .011, p > .05, there was no significant difference in the dependent variable across the conditions of the independent variable.

B) ² (N = 8, df = 2) = 2.750, p = .011, p > .05, there was no significant difference in the dependent variable across the conditions of the independent variable.

C) ² (N = 8, df = 2) = 9.000, p = .011, p < .05, there was a significant difference in the dependent variable across the conditions of the independent variable.

D) ² (N = 8, df = 2) = 2.750, p = .011, p < .05, there was a significant difference in the dependent variable across the conditions of the independent variable.

Question 4: Before conducting comparisons of pairs of mean ranks, a Bonferroni adjustment is made to the alpha. What is the adjusted alpha?

A) = .010

B) = .025

C) = .017

D) = .013

What were the results of the post hoc analysis comparing the pairs of mean ranks for differences?

A) There were significant differences on taste across all of the brands of peanut butter.

B) Both the Brand B and Brand C were significantly different from Brand A on taste.

C) The only taste difference was found between the Brand B and Brand C.

D) The only taste difference was found between Brand A and Brand C.

E) There were no significant differences on taste across all the brands of peanut butter.

If someone could just answer half that would be amazing