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StatisticsQ&A LibraryDisney Monorail Consider the same Mark VI monorail described in the preceding exercise. Again assume that heights of men are normally distributed with a mean of 68.6 in. and a standard deviation of 2.8 in.a. In determining the suitability of the monorail door height, why does it make sense to consider men while women are ignored?b. Mark VI monorail cars have a capacity of 60 passengers. If a car is loaded with 60 randomly selected men, what is the probability that their mean height is less than 72 in.?c. Why can’t the result from part (b) be used to determine how well the doorway height accommodates men?Question

Asked Jan 17, 2020

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Disney Monorail Consider the same Mark VI monorail described in the preceding exercise. Again assume that heights of men are normally distributed with a mean of 68.6 in. and a standard deviation of 2.8 in.

a. In determining the suitability of the monorail door height, why does it make sense to consider men while women are ignored?

b. Mark VI monorail cars have a capacity of 60 passengers. If a car is loaded with 60 randomly selected men, what is the probability that their mean height is less than 72 in.?

c. Why can’t the result from part (b) be used to determine how well the doorway height accommodates men?

Step 1

**a.**

In general, the men would be taller when compared with women. Thus, the design of doorway that is suitable for men is would also be suitable for women. Thus, it makes sense to consider men and ignore women.

Step 2

b.

Obtain the probability of 60 randomly selected men mean height less than 72 in.

*Mean of sample means:*

The sampling distribution of mean is equal to the population mean is:

Step 3

*Z score:*

The notation ‘x-bar’ represents the mean height of the men. ...

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