Question

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 masculinity score x = 5.28. The mean score for the general male population is μ = 5.18. 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 = 0.73 for the adult male population.

(a) State null and alternative hypotheses in terms of the mean femininity score μ for male hotel managers. (CHOOSE ONE OF THE FOLLOWING)

ANSWER A H₀: μ = 5.18 and H_a: μ ≠ 5.18

ANSWER B H₀: μ = 5.18 and H_a: μ > 5.18

ANSWER C H₀: x̅  = 5.18 and H_a: x̅  > 5.18

ANSWER C H₀: x̅  = 5.18 and H_a: x̅  ≠ 5.18

(b) Find the z test statistic. (Round your answer to two decimal places.)


(c) What is the P-value for your z? (Round your answer to four decimal places.)

(d) What do you conclude about male hotel managers? (Assume a 99% confidence level.)

ANSWER A) There is evidence that hotel managers have greater mean femininity scores than the general male population.

ANSWER B) There is evidence that hotel managers have different mean femininity scores than the general male population.    

ANSWER C) There is not enough evidence to conclude that hotel managers have different mean femininity scores than the general male population.

ANSWER D) There is not enough evidence to conclude that hotel managers have greater mean femininity scores than the general male population.

Answer 1