Reference no: EM132256867
Nine experts rated two brands of coffee in a? taste-testing experiment. A rating on a? 7-point scale ?(1 equals = extremely ?unpleasing, 7 equals = 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.
Click the icon to view table (BELOW)
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 of? significance, is there evidence of a difference in the mean ratings between the two? brands?
Let μ1 be the mean rating for brand A and μ2 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 as? needed.)
The critical? value(s) is(are) jQuery22405044388854039321_1552282735727?
.?(integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as? needed.)
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.)