# 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 m and standard deviation σ = 25. The HR group wants to hire applicants whose true personality rating m is greater than 200 points. (Test scores are an imperfect measure of true personality.)

(a) Before seeing test results, should the HR group assert as the null hypothesis that m for an applicant is greater than 200 or less than 200?

(b) If the HR group chooses H0: μ ≤ 200, then for what test scores (approximately) will the HR group reject H0 if α = 2.5%?

(c) What is the chance of a Type II error using the procedure in part (b) if the true score of an applicant is 225?

(a) Before seeing test results, should the HR group assert as the null hypothesis that m for an applicant is greater than 200 or less than 200?

(b) If the HR group chooses H0: μ ≤ 200, then for what test scores (approximately) will the HR group reject H0 if α = 2.5%?

(c) What is the chance of a Type II error using the procedure in part (b) if the true score of an applicant is 225?

## Answer to relevant Questions

A test of filtering software examined a sample of n = 100 messages. If the filtering software reduces the level of spam to 15%, this test only has a 33% chance of correctly rejecting H0: p ≥ 0.20. Suppose instead of using ...The management of a chain of hotels avoids intervening in the local management of its franchises unless problems become far too common to ignore. Management believes that solving the problems is better left to the local ...Refer to the analysis of car buyers in Exercise 46. If the population mean age for purchasers of the Cadillac Escalade is 50 years (with σ = 25 years), then what is the probability that the test procedure used in this ...A busy commuter is concerned about the time she spends in traffic getting to the office. She times the drive for a couple of weeks and finds that it averages 40 minutes. The next day, she tries public transit and it takes 45 ...These data give the sales volume (in dollars per square foot) for 37 retail outlets specializing in women’s clothing in 2006 and 2007. Did sales change by a statistically significant amount from 2006 to 2007?Post your question

0