Two expert French chefs judged chocolate mousse made by students in a Paris cooking school. Each chef ranked the best chocolate mousse as 1.

Use a 0.10 level of signifi­cance to test the claim that there is a monotone relation (either way) between ranks given by Chef Pierre and by Chef André.

(a) State the test used.

(b) Give a. State the null and alternate hypotheses.

(c) Find the sample test statistic.

(d) For the sign test, rank-sum test, and Spearman correlation coef­ficient test, fi­nd the P-value of the sample test statistic. For the runs test of randomness, ­find the critical values from Table 10 of Appendix II.

(e) Conclude the test and interpret the results in the context of the application

Transcribed Image Text:

Student Rank by Chef Pierre Rank by Chef André