Nine experts rated two brands of coffee in a taste-testing experiment. A rating on a 7-point scale (1 = extremely unpleasing, 7 = extremely pleasing) is giv characteristics: taste, aroma, richness, and acidity. The accompanying data table contains the ratings accumulated over all four characteristics. Comple Click the icon to view the data table. a. At the 0.01 level of significance, is there evidence of a difference in the mean ratings between the two brands? Let μ₁ be the mean rating for brand A and μ₂ be the mean rating for brand B. Determine the null and alternative hypotheses for this test. A. Ho: HD 0 (where HD=H1-H₂) B. Ho: HD 20 (where HD = μ₁-H₂)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.3: Using Data Displays
Problem 1E
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Related questions
Question
Data table
Expert
C.C.
S.E.
E.G
B.I.
C.M.
C.N.
G.N.
R.M.
P.V.
Brand A
24
25
19
22
22
24
27
21
22
Brand B
25
25
21
24
24
25
26
22
23
Transcribed Image Text:Data table Expert C.C. S.E. E.G B.I. C.M. C.N. G.N. R.M. P.V. Brand A 24 25 19 22 22 24 27 21 22 Brand B 25 25 21 24 24 25 26 22 23
Nine experts rated two brands of coffee in a taste-testing experiment. A rating on a 7-point scale (1 = extremely unpleasing, 7 = extremely pleasing) is given for each of four
characteristics: taste, aroma, richness, and acidity. The accompanying data table contains the ratings accumulated over all four characteristics. Complete parts (a) through (d) below.
Click the icon to view the data table.
a. At the 0.01 level of significance, is there evidence of a difference in the mean ratings between the two brands?
Let μ₁ be the mean rating for brand A and μ2 be the mean rating for brand B. Determine the null and alternative hypotheses for this test.
A. Ho: HD=0 (where HD = H1-H₂)
H₁: HD #0
OC. Ho: HD 0 (where HD H1-H₂)
H₁: HD=0
The test statistic is tSTAT=_-
(Type an integer or a decimal. Round to two decimal places as needed.)
OB. Ho: HD 20 (where HD H1-H₂)
H₁ HD <0
O D. Ho: HD ≤0 (where HD H1-H₂)
H₁: HD >0
Transcribed Image Text:Nine experts rated two brands of coffee in a taste-testing experiment. A rating on a 7-point scale (1 = extremely unpleasing, 7 = extremely pleasing) is given for each of four characteristics: taste, aroma, richness, and acidity. The accompanying data table contains the ratings accumulated over all four characteristics. Complete parts (a) through (d) below. Click the icon to view the data table. a. At the 0.01 level of significance, is there evidence of a difference in the mean ratings between the two brands? Let μ₁ be the mean rating for brand A and μ2 be the mean rating for brand B. Determine the null and alternative hypotheses for this test. A. Ho: HD=0 (where HD = H1-H₂) H₁: HD #0 OC. Ho: HD 0 (where HD H1-H₂) H₁: HD=0 The test statistic is tSTAT=_- (Type an integer or a decimal. Round to two decimal places as needed.) OB. Ho: HD 20 (where HD H1-H₂) H₁ HD <0 O D. Ho: HD ≤0 (where HD H1-H₂) H₁: HD >0
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