Successful hotel managers must have personality characteristics often traditionally stereotyped as feminine (such as "compassionate") as well as those traditionally stereotyped 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. Although the BSRI was developed at a time when these stereotypes were more pronounced, it is still widely used to assess personality types. Unfortunately, the ratings are often referred to as femininity and masculinity scores. A sample of 148 male general managers of three-star and four-star hotels had mean BSRI femininity score x 5.29. 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 o = 0.78 for the adult male population. You may find Table A helpful.

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### Understanding Personality Traits Among Hotel Managers

Successful hotel managers must exhibit personality traits traditionally viewed as feminine (like being "compassionate") and those seen as masculine (such as being "forceful"). The Bem Sex-Role Inventory (BSRI) is a tool used to measure these traits, offering separate scores for "feminine" and "male" characteristics, each ranging from 1 to 7. Although designed during times of more pronounced gender stereotypes, the BSRI is still commonly used to assess masculinity and femininity in individuals. However, these scores are often summarized simply as femininity and masculinity ratings.

In a recent study involving 148 male general managers from three-star and four-star hotels, the average BSRI femininity score was \(\bar{x} = 5.29\). By comparison, the mean femininity score for the general male population is \(\mu = 5.19\). This raises the question: do hotel managers exhibit significantly different femininity scores compared to the general male population? For this analysis, assume the standard deviation of scores among all male hotel managers is identical to that of the general adult male population, \(\sigma = 0.78\).

For further examination, you may find [Table A](#) helpful.
Transcribed Image Text:### Understanding Personality Traits Among Hotel Managers Successful hotel managers must exhibit personality traits traditionally viewed as feminine (like being "compassionate") and those seen as masculine (such as being "forceful"). The Bem Sex-Role Inventory (BSRI) is a tool used to measure these traits, offering separate scores for "feminine" and "male" characteristics, each ranging from 1 to 7. Although designed during times of more pronounced gender stereotypes, the BSRI is still commonly used to assess masculinity and femininity in individuals. However, these scores are often summarized simply as femininity and masculinity ratings. In a recent study involving 148 male general managers from three-star and four-star hotels, the average BSRI femininity score was \(\bar{x} = 5.29\). By comparison, the mean femininity score for the general male population is \(\mu = 5.19\). This raises the question: do hotel managers exhibit significantly different femininity scores compared to the general male population? For this analysis, assume the standard deviation of scores among all male hotel managers is identical to that of the general adult male population, \(\sigma = 0.78\). For further examination, you may find [Table A](#) helpful.
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---

### Statistical Analysis

**Question 15 of 17**

**(b) Find the \( z \) test statistic.**  
*(Enter your answer rounded to two decimal places.)*

\( z = \) [_________]

**(c) What is the \( P \)-value for your \( z \)?**  
*(Enter your answer rounded to four decimal places.)*

\( P \)-value = [_________]

---

This exercise is designed to help you calculate the \( z \) test statistic and its corresponding \( P \)-value, both of which are fundamental in hypothesis testing. You will need to input your answers in the provided fields and round them to the specified decimal places. This problem is sourced from "Moore, The Basic Practice of Statistics, 8e," published by W.H. Freeman.

For additional support, use the “Help” or “Contact Us” links provided on the website.
Transcribed Image Text:Here is the transcription of the image suitable for an educational website: --- ### Statistical Analysis **Question 15 of 17** **(b) Find the \( z \) test statistic.** *(Enter your answer rounded to two decimal places.)* \( z = \) [_________] **(c) What is the \( P \)-value for your \( z \)?** *(Enter your answer rounded to four decimal places.)* \( P \)-value = [_________] --- This exercise is designed to help you calculate the \( z \) test statistic and its corresponding \( P \)-value, both of which are fundamental in hypothesis testing. You will need to input your answers in the provided fields and round them to the specified decimal places. This problem is sourced from "Moore, The Basic Practice of Statistics, 8e," published by W.H. Freeman. For additional support, use the “Help” or “Contact Us” links provided on the website.
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