Nine experts rated two brands of coffee in ataste-testing experiment. A rating on a7-point scale (1 equals = extremely unpleasing, 7 equals = extremely pleasing) is given for each of fourcharacteristics: taste,aroma, richness, and acidity. The accompanying data table contains the ratings accumulated over all four characteristics. Complete parts(a) through(d) below.

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Expert A B

C.C. 25 27

S.E. 26 26

E.G. 19 21

B.I. 23 25

C.M. 22 24

C.N. 24 25

G.N. 25 24

R.M. 24 25

P.V. 21 23

a. At the 0.01 level ofsignificance, is there evidence of a difference in the mean ratings between the twobrands?

Let 1 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.

b. The test statistic is t Subscript tSTAT equals

=3.35.

(integer or a decimal. Round to two decimal places asneeded.)

The criticalvalue(s) is(are) jQuery22405044388854039321_1552282735727?

.(integers or decimals. Round to two decimal places as needed. Use a comma to separate answers asneeded.)

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

the test statistic gives a p-value of ???

.(integers or decimals. Round to three decimal places as needed.)