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# 20 Nine experts rated two brands of Colombian coffee in a taste-testing experiment.

10.20 Nine experts rated two brands of Colombian

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 following

data stored in Coffee contain the

ratings accumulated over all four characteristics

Expert **A B**

** C.C. **24 26

**S.E. **27 27

**E.G. **19 22

**B.L. **24 27

**C.M. **22 25

**C.N. **26 27

**G.N. **27 26

**R.M. **25 27

**P.V. **22 23

**a. **At the 0.05 level of significance, is there evidence of a difference

in the mean ratings between the two brands?

**b. **What assumption is necessary about the population distribution

in order to perform this test?

**c. **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 brands.

Brand

uploaded excel spreadsheet label 10.20