6) Successful hotel managers must have certain personality traits that may seem contradictory, such as being compassionate yet forceful. A certain personality test has a scale of 1 to 7. A sample of 148 male general managers of 5-star hotels had a mean score of 5.29. The mean score for the general male population is 5.19 with a standard deviation of 0.78 We wish to determine if hotel managers have a statistically significantly different score from the general male population. a) State the null and alternative hypotheses in terms of the mean score. b) Calculate the z test statistic. c) Find the P-value for your z-statistic. Using a 5% a-level, what can you conclude about the personalities of male hotel managers in comparison to the general male population?

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6) Successful hotel managers must have certain personality traits that may seem contradictory, such as being compassionate yet forceful. A certain personality
test has a scale of 1 to 7. A sample of 148 male general managers of 5-star hotels had a mean score of 5.29. The mean score for the general male population is
5.19 with a standard deviation of 0.78 We wish to determine if hotel managers have a statistically significantly different score from the general male population.
a) State the null and alternative hypotheses in terms of the mean score.
b) Calculate the z test statistic.
c) Find the P-value for your z-statistic. Using a 5% a-level, what can you conclude about the personalities of male hotel managers in comparison to the general male
population?
Transcribed Image Text:6) Successful hotel managers must have certain personality traits that may seem contradictory, such as being compassionate yet forceful. A certain personality test has a scale of 1 to 7. A sample of 148 male general managers of 5-star hotels had a mean score of 5.29. The mean score for the general male population is 5.19 with a standard deviation of 0.78 We wish to determine if hotel managers have a statistically significantly different score from the general male population. a) State the null and alternative hypotheses in terms of the mean score. b) Calculate the z test statistic. c) Find the P-value for your z-statistic. Using a 5% a-level, what can you conclude about the personalities of male hotel managers in comparison to the general male population?
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