Question

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

PART A

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.?

Answer 1

Th ecalculation of excel