Standard deviation

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 mangers of three-star and four-star hotels had mean BSRI femininity score y = 5.29. The mean score for the general male population is ? = 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 ? = 0.78 for the adult male population. Follow the four-step process in your work.