10.20 Nine experts rated two brands of Colombian coffee in a taste-testing exper

Question

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 characteristcs: taste, aroma, richness, and acidity. The following data stored in Coffee contains the ratings accumulated over all four characteristcs:

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 peform this test?

c) Determine the p-value in (a) and interpret its meaning.

*Please show all work, because I don't understand this at all.*

1 24 26 25 22 2 27 27 26 24 3 19 22 20 16 4 24 27 25 23 5 22 25 22 21 6 26 27 24 24 7 27 26 22 23 8 25 27 24 21 9 22 23 20 19

Explanation / Answer

Some thing is missing but I gave some approach to do this when we have more then tow brand. Assume characteristcs as a brand, thn we have four brand and we test there is evidence of a difference in the mean ratings between the two brands, For this we use Tukey test to comparsion of multiple combination of means

You can use t-test individually for difference in the mean ratings between the two brands

T A R AC 1 24 26 25 22 2 27 27 26 24 3 19 22 20 16 4 24 27 25 23 5 22 25 22 21 6 26 27 24 24 7 27 26 22 23 8 25 27 24 21 9 22 23 20 19 n 9 9 9 9 Mean 24 25.55556 23.11111 21.44444 SD 2.645751 1.878238 2.204793 2.603417

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