### Analysis of Height Requirements for Amusement Park CharactersA survey found that women’s heights are normally distributed with a mean of 63.2 inches and a standard deviation of 2.6 inches. Similarly, men’s heights are normally distributed with a mean of 69.8 inches and a standard deviation of 3.5 inches. The amusement park sets height requirements for characters, requiring a minimum of 56 inches and a maximum of 64 inches. Below are analyses and interpretations of this data:**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 characters at the amusement park?**- The percentage of men who meet the height requirement is **4.87%**. (Rounded to two decimal places as needed.)- Since most men **do not meet** the height requirement, it is likely that most of the characters are **women**.**b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?**- Enter the minimum and maximum height to determine the new requirements, calculated as follows: - The new height requirements are a minimum of \_\_ inches and a maximum of \_\_ inches. (Round to one decimal place as needed.) Note: The exact values for the new requirements in part b are not provided in the image and need calculation based on the new distribution criteria.

From given data we have : For women : μ=63.2σ=2.6 For men : μ=69.8σ=3.5

Answered: a. Find the percentage of men meeting…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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