1732 Successful hotel managers must have personality charact

17.32) 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 a mean BSRI masculinity score x=5.91. The standard deviation of masculinity scores for all adult males is = 0.79. Assume that this is also true in the population of male hotel managers. Give a 95% confidence interval for the mean masculinity score of all male hotel managers in this class. (Round answer to three decimals).

Solution

1. The null hypothesis is: H0: µ = 5.19 2. The alternative hypothesis is: Ha: µ ? 5.19 3. H0: µ = 5.19 HA: µ ? 5.19 Sample mean = 5.29 Standard deviation = 0.78 Standard error of mean = s / v n Standard error of mean = 0.78 / v 148 SE = 0.78/12.1655 Standard error of mean 0.0641 z = (xbar- µ ) / SE z = (5.29-5.19) / 0.0641 z = 1.5597 The z-value is:1.56 4. The P-value is: P( z > 1.56) + P( z < -1.56) = .0594+.0594 = 0.1188 5. False