# 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?

Question
12 views

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?

check_circle

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 –...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in