A survey found that women's heights are normally distributed with mean 63.5 in and standard deviation 2.2 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table. Click to view page 2 of the table. a. The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.) Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? O A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height. O B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height. O C. Yes, because the percentage of women who meet the height requirement is fairly large. O D. No, because the percentage of women who meet the height requirement is fairly small. in and at most b. For the new height requirements, this branch of the military requires women's heights to be at least (Round to one decimal place as needed.) in.
A survey found that women's heights are normally distributed with mean 63.5 in and standard deviation 2.2 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table. Click to view page 2 of the table. a. The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.) Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? O A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height. O B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height. O C. Yes, because the percentage of women who meet the height requirement is fairly large. O D. No, because the percentage of women who meet the height requirement is fairly small. in and at most b. For the new height requirements, this branch of the military requires women's heights to be at least (Round to one decimal place as needed.) in.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
![A survey found that women's heights are normally distributed with a mean of 63.5 inches and a standard deviation of 2.2 inches. A branch of the military requires women's heights to be between 58 inches and 80 inches.
**a.** Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
**b.** If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
[Click to view page 1 of the table. Click to view page 2 of the table.]
**a.** The percentage of women who meet the height requirement is [ ]%. (Round to two decimal places as needed.)
Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
- A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.
- B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height.
- C. Yes, because the percentage of women who meet the height requirement is fairly large.
- D. No, because the percentage of women who meet the height requirement is fairly small.
**b.** For the new height requirements, this branch of the military requires women's heights to be at least [ ] inches and at most [ ] inches. (Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66ac5d0d-fc89-4c09-8186-ee5bac8ff70c%2F3ede9fcb-e8de-496e-84c7-35eae2e394d5%2F9920uef_processed.png&w=3840&q=75)
Transcribed Image Text:A survey found that women's heights are normally distributed with a mean of 63.5 inches and a standard deviation of 2.2 inches. A branch of the military requires women's heights to be between 58 inches and 80 inches.
**a.** Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
**b.** If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
[Click to view page 1 of the table. Click to view page 2 of the table.]
**a.** The percentage of women who meet the height requirement is [ ]%. (Round to two decimal places as needed.)
Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
- A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.
- B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height.
- C. Yes, because the percentage of women who meet the height requirement is fairly large.
- D. No, because the percentage of women who meet the height requirement is fairly small.
**b.** For the new height requirements, this branch of the military requires women's heights to be at least [ ] inches and at most [ ] inches. (Round to one decimal place as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman