A large corporation selects graduates for employment by

Chapter 15, Problem 55E

(choose chapter or problem)

A large corporation selects graduates for employment by using both interviews and a psychological achievement test. Interviews conducted at the home office of the company were far more expensive than the test, which could be conducted on campus. Consequently, the personnel office was interested in determining whether the test scores were correlated with interview ratings and whether the tests could be substituted for interviews. The idea was not to eliminate interviews but to reduce their number. Ten prospects were ranked during interviews and then tested. The paired scores were as shown in the accompanying table.

a Calculate the Spearman rank correlation coefficient \(r_{S}\). Rank 1 is assigned to the candidate

judged to be the best.

b Do the data present sufficient evidence to indicate that the correlation between interview

rankings and test scores is less than zero? If such evidence does exist, can we say that tests

could be used to reduce the number of interviews?

Equation transcription:

Text transcription:

r{S}