At McDouglas Hamburger stands, each employee must undergo a training program before he or she is assigned. A group of nine people went through the training program and were assigned to work at the Teton Park McDouglas Hamburger stand. Rankings in performance after the training program and after 1 month on the job are shown (a rank of 1 is for best performance).

Using a 0.05 level of significance, test the claim that there is a monotone increasing relation between rank from the training program and rank in performance on the job.
(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:

Employee Rank, training program 89 736 4 Rank on job 1 2 5