This will likely involve one or more nonparametric statistic (i.e., like Spearman's rho)

a. Columns A & B - In a taste test of a new beer 100 people rated the new beer and the leading brand on the market. The possible ratings were Poor, Fair, Good, Very good, and Excellent. The responses for the new beer and the leading beer were recorded using a 1-2-3-4-5 coding system. Can we infer that the new beer is more highly rated than the leading brand?

b. Columns C & D - The responses were recoded so that 3 = Poor, 8 = Fair, 22 = Good, 37 = Very good, and 55 = Excellent. Can we infer that the new beer is more highly rated than the leading brand?

c. Why are the answers to Parts (a) and (b) identical?

Column A	Column B	Column C	Column D
New	Leading	New	Leading
5	4	55	37
4	3	37	22
4	4	37	37
4	5	37	55
4	4	37	37
4	3	37	22
4	4	37	37
3	2	22	8
4	5	37	55
3	2	22	8
2	2	8	8
3	2	22	8
1	1	3	3
3	4	22	37
4	3	37	22
5	5	55	55
5	4	55	37
4	2	37	8
4	4	37	37
4	3	37	22
5	3	55	22
2	4	8	37
4	3	37	22
5	4	55	37
2	2	8	8
4	3	37	22
3	4	22	37
4	5	37	55
4	3	37	22
3	3	22	22
3	3	22	22
2	1	8	3
3	2	22	8
2	3	8	22
5	4	55	37
4	3	37	22
3	4	22	37
4	2	37	8
5	4	55	37
5	5	55	55
3	2	22	8
5	3	55	22
4	3	37	22
1	1	3	3
3	1	22	3
5	4	55	37
4	3	37	22
3	2	22	8
4	4	37	37
4	5	37	55
5	5	55	55
4	4	37	37
5	3	55	22
3	4	22	37
3	3	22	22
3	3	22	22
4	5	37	55
3	4	22	37
5	4	55	37
3	3	22	22
4	4	37	37
4	5	37	55
3	4	22	37
3	4	22	37
4	5	37	55
3	4	22	37
5	3	55	22
4	3	37	22
3	2	22	8
4	5	37	55
4	4	37	37
3	2	22	8
5	4	55	37
4	3	37	22
4	5	37	55
4	5	37	55
4	2	37	8
4	5	37	55
4	5	37	55
3	4	22	37
4	3	37	22
5	3	55	22
3	4	22	37
4	5	37	55
5	5	55	55
3	4	22	37
4	3	37	22
4	3	37	22
3	4	22	37
3	1	22	3
5	4	55	37
3	4	22	37
4	3	37	22
3	3	22	22
4	3	37	22
4	4	37	37
4	3	37	22
4	4	37	37
1	2	3	8
4	5	37	55