Question: Nine experts rated four 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 the four characteristics: taste, aroma, richness, and acidity. The data for COFFEE BELOW gives the ratings for four brands of coffee.

1. At the .05 level of significance, is there evidence of a difference in the mean ratings for the four brands of coffee?

   Complete the following:
   State H 0 .	\[{{\mu }_{1}}={{\mu }_{2}}={{\mu }_{3}}={{\mu }_{4}}\]
   2. State H 1 .	Not all the means are equal
   3. State the value of α.	0.05
   4. State the value of the test statistic.	4.79
   5. State the p-value.	0.007223
   6. State the decision in terms of H 0 and why.	Reject Ho (because p < 0.05)
   7. State the decision in terms of the problem.	Not all three population means are equal

2. If appropriate, determine which brands differ.
   Only B and D.
3. One assumption of ANOVA is that the variances of the populations are equal. At the .05 level of significance, is there evidence of a difference in the variation in the ratings of the four brands of coffee?

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