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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Starbucks is considering introducing two new coffee-based products. In order to decide on which
product to selI, they construct a taste-testing experiment. In the experiment nine coffee experts
tasted and rated the two products based on a 7 point scale (1 = extremely unpleasing, 7 = extremely
pleasing) for each of four characteristics: taste, aroma, richness, and acidity. For confidentiality
purposes names of the products are given as A and B. The results of the taste testing experiment are
given in the table below.
Expert
A
В
C.C.
24
26
S.E.
27
27
E.G.
19
22
B.L.
24
27
С.М.
22
25
C.Ν.
26
27
G.N.
27
26
R.M.
P.V.
25
22
27
23
At the 0.05 level of significance, is there evidence of a difference in the mean ratings
between the two products?
а.
b. What assumption is necessary about the population distribution in order to perform this
test?
с.
Determine the p-value in (a) and interpret its meaning.
d. Construct and interpret a 95% confidence interval estimate of the difference in the mean
ratings between the two products
Transcribed Image Text:Starbucks is considering introducing two new coffee-based products. In order to decide on which product to selI, they construct a taste-testing experiment. In the experiment nine coffee experts tasted and rated the two products based on a 7 point scale (1 = extremely unpleasing, 7 = extremely pleasing) for each of four characteristics: taste, aroma, richness, and acidity. For confidentiality purposes names of the products are given as A and B. The results of the taste testing experiment are given in the table below. Expert A В C.C. 24 26 S.E. 27 27 E.G. 19 22 B.L. 24 27 С.М. 22 25 C.Ν. 26 27 G.N. 27 26 R.M. P.V. 25 22 27 23 At the 0.05 level of significance, is there evidence of a difference in the mean ratings between the two products? а. b. What assumption is necessary about the population distribution in order to perform this test? с. Determine the p-value in (a) and interpret its meaning. d. Construct and interpret a 95% confidence interval estimate of the difference in the mean ratings between the two products
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