Data was collected on ratings of two brands of coffee on four characteristics: taste, aroma, richness, and acidity. The distribution is unknown, but symmetric. Is there evidence of a difference in the median ratings between the two brands? Use a Wilcoxen Matched-Pairs Signed Rank Test to answer this question at a 5% significance level. Differences = Brand A - Brand B.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Data was collected on ratings of two brands of coffee on four characteristics: taste, aroma, richness, and acidity. The distribution is unknown, but symmetric. Is there evidence of a difference in the median ratings between the two brands? Use a Wilcoxen Matched-Pairs Signed Rank Test to answer this question at a 5% significance level. Differences = Brand A - Brand B.


Brand A    Brand B
24            26
27            27
19            22
24            27
22            25
26            27
27            26
25            27
22            23

What is the value of T?

What is the critical value?

At a 5% significance level, what can you conclude from this study?

(a) There is no significant difference in the median ratings between the two coffee brands.
(b) Brand A is rated significantly lower than Brand B.    
(c)There is a significant difference in the median ratings between the two coffee brands.
(d) Brand A is rated significantly higher than Brand B.
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