QUESTION 10 Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4 inches. Women inches and standard deviation 2.6 inches. The US Air Force has a height requirement for their pilots to be between 64 in Make sure you are rounding z-scores properly to two places. Part A: Find the two z-scores for women who meet this height requirement z = (smaller value (larger value) Part B: Using the z-scores from part A, find the proportion of women who meet the height requirement. Give this answe
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Need D and E
![**QUESTION 10**
Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4 inches. Women have a mean of 63.8 inches and standard deviation 2.6 inches. The US Air Force has a height requirement for their pilots to be between 64 inches and 77 inches.
**Make sure you are rounding z-scores properly to two places.**
**Part A:** Find the two z-scores for women who meet this height requirement
\[ z = \_\_\_\_\_\ \text{(larger value)} \]
\[ z = \_\_\_\_\_\ \text{(smaller value)} \]
**Part B:** Using the z-scores from Part A, find the proportion of women who meet the height requirement. Give this answer as a decimal.
\[ \_\_\_\_\_\ \]
**Part C:** Find the two z-scores for men who meet this height requirement
\[ z = \_\_\_\_\_\ \text{(larger value)} \]
\[ z = \_\_\_\_\_\ \text{(smaller value)} \]
**Part D:** Using the z-scores from Part C, find the proportion of men who meet the height requirement. Give this answer as a decimal.
\[ \_\_\_\_\_\ \]
**Part E:** If the height requirement were changed to exclude only the shortest 1% of women and tallest 1% of men, what are the new heights? The short value would be \[ \_\_\_\_\_\ \] inches and the tall value would be \[ \_\_\_\_\_\ \] inches.
**Please give these two values rounded properly to one decimal place.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fb381f-811c-41ea-92d9-ccdf3c6fabee%2F798edc3e-1246-4308-99a6-a864ebf60058%2Fmc8wgd8_processed.jpeg&w=3840&q=75)
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