An army psychologist gave a random sample of seven soldiers a test to measure sense of humor and another test to measure aggressiveness. Higher scores mean greater sense of humor or more aggressiveness.

(i) Ranking the data with rank 1 for highest score on a test, make a table of ranks to be used in a Spearman rank correlation test.
(ii) Using a 0.05 level of significance, test the claim that rank in humor has a monotone-decreasing relation to rank in aggressiveness.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Compute the sample test statistic.
(c) Find or estimate the P-value of the sample test statistic.
(d) Conclude the test.
(e) Interpret the conclusion in the context of the application.

Transcribed Image Text:

Soldier Score on humor test Score on aggressiveness test 78 42 68 53 62 5076 4 6 60 85 78 90 9345 51