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 0.10 level of significance, is there evidence of a difference in the mean ratings between the two brands? Let μ, be the mean rating for brand A and ₂ be the mean rating for brand B. Determine the null and alternative hypotheses for this test. OA. Ho: HD 50 (where HD 1-H₂) H₁: HD > 0 OC. Ho: HD #0 (where HD = 1-2) H₁: HD=0 The test statistic is tSTAT = -3.05. (Type an integer or a decimal. Round to two decimal places as needed.) The critical value(s) is (are). (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) B. Ho: HD=0 (where HD = 1-₂) H₁: HD #0 O D. Ho: HD 20 (where HD H₁-H₂) H₁: HD <0 Data table Expert C.C. S.E. E.G B.I. C.M. C.N. G.N. R.M. P.V. Brand A 23 26 17 23 21 24 25 23 21 Print Brand B 25 26 19 26 22 25 24 24 23 D Done X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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Find the critical values 

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 0.10 level of significance, is there evidence of a difference in the mean ratings between the two brands?
Let μ, 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.
OA. 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 = -3.05.
(Type an integer or a decimal. Round to two decimal places as needed.)
C
The critical value(s) is (are).
(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)
B. Ho: HD 0 (where HD =H1-H₂)
H₁: HD #0
O D. Ho: HD 20 (where HD H1-H₂)
H₁: HD <0
Data table
Expert
C.C.
S.E.
E.G
B.I.
C.M.
C.N.
G.N.
R.M.
P.V.
Brand A
23
26
17
23
21
24
25
23
21
Print
Brand B
25
26
19
26
22
25
24
24
23
Done
- X
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 0.10 level of significance, is there evidence of a difference in the mean ratings between the two brands? Let μ, 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. OA. 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 = -3.05. (Type an integer or a decimal. Round to two decimal places as needed.) C The critical value(s) is (are). (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) B. Ho: HD 0 (where HD =H1-H₂) H₁: HD #0 O D. Ho: HD 20 (where HD H1-H₂) H₁: HD <0 Data table Expert C.C. S.E. E.G B.I. C.M. C.N. G.N. R.M. P.V. Brand A 23 26 17 23 21 24 25 23 21 Print Brand B 25 26 19 26 22 25 24 24 23 Done - X
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