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.
EXPERT. BRAND A BRAND B
C.C. 23 24
S.E. 24 24
E.G. 19 21
B.I 21 23
C.M. 21 24
C.N 25 26
G.N 26 25
R.M. 21 22
P.V. 19 21
At the 0.01 level of significance, is there evidence of a difference in the mean ratings between the two brands?
let m1 be the mean rating for the brand A and m2 be the mean rating for brand b.
Determine the null and alternative hypotheses for this test.
What is the critical value? It is a two tailed test
What is the Tstat?
b.What assumption is necessary about the population distribution in order to perform this test?
Review the assumptions required for a paired t test for the mean difference.
C. Determine the p-value in (a) and interpret its meaning.
d.Construct a 90% confidence interval estimate of the difference in the mean ratings between the two brands.?
Construct a 95% confidence interval estimate of the difference in the mean ratings between the two brands.?
Th ecalculation of excel
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