Assume that military aircraft use ejection seats designed for men weighing between 149 9 lb and 200 Ib. If women's weights are normally distributed with a mean of 173.3 lb and a standard deviation of 41.2 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications? The percentage of women that have weights between those limits is%. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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6.2-5
**Educational Context Text**

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**Title: Analysis of Weight Specifications for Military Aircraft Ejection Seats**

**Problem Statement:**
Assume that military aircraft use ejection seats designed for men weighing between 149.9 lb and 200 lb. If women's weights are normally distributed with a mean of 173.3 lb and a standard deviation of 41.2 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications?

**Task:**
Calculate the percentage of women whose weights fall within the specified range of 149.9 lb and 200 lb.

**Instructions:**
Use the properties of the normal distribution to determine the percentage. Round your final answer to two decimal places as needed.

**Answer Box:**
The percentage of women that have weights between those limits is [ ]%.

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**Explanation:**
The problem requires applying statistical concepts of the normal distribution to assess the inclusivity of current weight design specifications for ejection seats. This involves calculating how the specified range compares to the distribution of women's weight, which is characterized by its mean and standard deviation.

(Note: The original image does not contain any graphs or diagrams for further explanation.)
Transcribed Image Text:**Educational Context Text** --- **Title: Analysis of Weight Specifications for Military Aircraft Ejection Seats** **Problem Statement:** Assume that military aircraft use ejection seats designed for men weighing between 149.9 lb and 200 lb. If women's weights are normally distributed with a mean of 173.3 lb and a standard deviation of 41.2 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications? **Task:** Calculate the percentage of women whose weights fall within the specified range of 149.9 lb and 200 lb. **Instructions:** Use the properties of the normal distribution to determine the percentage. Round your final answer to two decimal places as needed. **Answer Box:** The percentage of women that have weights between those limits is [ ]%. --- **Explanation:** The problem requires applying statistical concepts of the normal distribution to assess the inclusivity of current weight design specifications for ejection seats. This involves calculating how the specified range compares to the distribution of women's weight, which is characterized by its mean and standard deviation. (Note: The original image does not contain any graphs or diagrams for further explanation.)
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