Hotel managers. In Exercise 15.30 (page 386) you carried out a test of significance based on data from 148 general managers of three-star and four-star hotels. Before you trust your results, you would like more information about the data. What facts would you most like to know?
Exercise 15.30.
Hotel managers' personalities. Successful hotel managers must have personality characteristics often thought of as feminine (such as "compassionate") as well as those often thought of as masculine (such as "forceful"). The Bem Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 148 male general managers of three-star and four-star hotels had mean BSRI femininity score The mean score for the general male population is μ= 5.19. Do hotel managers, on the average, differ significantly in femininity score from men in general? Assume that the standard deviation of scores in the population of all male hotel managers is the same as the σ=0.78 for the adult male population.
(a) State null and alternative hypotheses in terms of the mean femininity score μ for male hotel managers.
(b) Find the z test statistic.
(c) What is the P-value for your z? What do you conclude about male hotel managers? 15.3