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StatisticsQ&A LibraryIn Exercises 21–24, use these parameters (based on Data Set 1 “Body Data” in Appendix B):Men’s heights are normally distributed with mean 68.6 in. and standard deviation 2.8 in.Women’s heights are normally distributed with mean 63.7 in. and standard deviation 2.9 in.Mickey Mouse Disney World requires that people employed as a Mickey Mouse character must have a height between 56 in. and 62 in.a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as Mickey Mouse characters?b. If the height requirements are changed to exclude the tallest 50% of men and the shortest 5% of men, what are the new height requirements?Question

Asked Jan 16, 2020

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In Exercises 21–24, use these parameters (based on Data Set 1 “Body Data” in Appendix B):

- Men’s heights are normally distributed with mean 68.6 in. and standard deviation 2.8 in.
- Women’s heights are normally distributed with mean 63.7 in. and standard deviation 2.9 in.

Mickey Mouse Disney World requires that people employed as a Mickey Mouse character must have a height between 56 in. and 62 in.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as Mickey Mouse characters?

b. If the height requirements are changed to exclude the tallest 50% of men and the shortest 5% of men, what are the new height requirements?

Step 1

a)

The random variable *x *represents the heights of the men.

The formula to convert the *x* value into *z* score is,

Step 2

Step 3

The percentage of men meets the height requirement between 56 in. and 62 in. obtained by finding the difference between the areas to the left of –...

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