The Human Resources (HR) group gives job applicants at a firm a personality test

Question

The Human Resources (HR) group gives job applicants at a firm a personality test to assess how well they will fit into the firm and get along with colleagues. Historically, test scores have been normally distributed with mean and standard deviation =23. The HR group wants to hire applicants whose true personality rating is greater than 209 points. (Test scores are an imperfect measure of true personality.) Use this information to answer parts a through c below.

(a) Before seeing test results, should the null hypothesis of the HR group assert that for an applicant is greater than 209 or less than 209?

H0: __ 209

(b) If the HR group chooses the null hypothesis found in part a, then for what test scores (approximately) will the HR group reject H0 if alphaequals=5%?

If =5%, the HR group will reject H0 for test scores greater than ______. (Round to the nearest whole number as needed.)

Explanation / Answer

a)

H0: <=  209

H1: > 209

b)

This is an upper tailed test with =5% and hence, we would reject the null hypothesis if test scores are higher than 1.645.

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