A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 3.6 in. The survey also found that men's heights are normally distributed with mean 69.7 in. and standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below 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 ____%.
Added by Megan B.
Step 1
We need to find the percentage of men who meet the height requirement for live characters at an amusement park. The height requirement is between 57 inches and 64 inches. Men's heights are normally distributed with a mean of 69.7 inches and a standard deviation of Show more…
Show all steps
Close
Your feedback will help us improve your experience
Rashmi Sinha and 89 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
"A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.7 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below: 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 (Round to two decimal places as needed:) %."
David N.
A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.8 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. 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? b. The new height requirements are a minimum of ____ in. and a maximum of ____ in.
Jason G.
According to the National Health Survey, the heights of adult males in the United States are normally distributed with mean 69.0 inches and standard deviation 2.8 inches. (a) What is the probability that an adult male chosen at random is between 65 inches and 73 inches tall? (b) What percentage of the adult male population is more than 6 feet tall?
Further Applications of Integration
Probability
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD