6. Interviewing Job Prospects A large corporation selects college graduates for employment using both interviews and a written test. Interviews conducted at the company site are far more expensive than the written test conducted on campus. Consequently, the personnel office was interested in determining whether the test scores could be substituted for interviews.

The idea was not to eliminate interviews but to reduce their number. Ten prospects were ranked during interviews and tested. The paired scores are as listed here:

a. Calculate the Spearman rank correlation coefficient rs.
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 this evidence does exist, can you say that tests can be used to reduce the number of interviews?

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Subject Interview Rank Test Score 10 1234567 96 7890 05036 8 74 81 10 66 83 66 1 94 4 96 7 70 61 2 86