We appreciate your visit to If adult male heights are normally distributed with a mean of 180 cm and a standard deviation of 7 cm how high should an aircraft. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
From a standard normal distribution table, the value of z giving a cumulative probability of 0.999 is 3.08.
[tex]3.08=\frac{X-\mu}{\sigma}=\frac{X-180}{7}[/tex]
Solving for X we get X = 201.56.
The answer is 201.56 cm.
[tex]3.08=\frac{X-\mu}{\sigma}=\frac{X-180}{7}[/tex]
Solving for X we get X = 201.56.
The answer is 201.56 cm.
Thanks for taking the time to read If adult male heights are normally distributed with a mean of 180 cm and a standard deviation of 7 cm how high should an aircraft. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
The aircraft lavatory door should be 201.56 cm high to ensure that 99.9% of adult males will not have to stoop as they enter
How to determine the height of the door?
The p value is given as:
p = 99.9%
At p = 99.9%, the z value is:
z = 3.08
The z-score is calculated using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
Where:
Mean = 180
Standard deviation = 7
So, we have:
[tex]3.08 = \frac{x - 180}{7}[/tex]
Multiply both sides by 7
[tex]21.56 = x - 180[/tex]
Solve for x
x = 201.56
Hence, the height is 201.56 cm
Read more about normal distribution at:
https://brainly.com/question/4079902
#SPJ6
