Question

Asked Apr 21, 2019

Assume that military aircraft use ejection seats designed for men weighing between 141.5 lb and 201 lb. If women's weights are normally distributed with a mean of 160.6 lb and a standard deviation of 48.7 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications?

Step 1

__Solution__

**Given: **The military aircraft use ejection seats designed for men weighing between 141.5 lb and 201 lb. Women’s weights are normally distributed with a mean *µ* = 160.6 and standard deviation *σ* = 48.7.

**Step 1:**

To find the percentage of women have weights that are within 141.5lb and 201lb we need to find the *z* scores corresponding to 141.5 lb and 201lb.

The *z* score is computed using the formula,

Step 2

**Step 2:**

To find the *z *– score corresponding to 141.5, substitute the values *X* = 141.5, *µ* = 160.6, and σ = 48.7 in the formula. We get the *z* score as

Step 3

To find the *z *– score corresponding to 201, substitute the values *X* = 201, *µ* = 16...

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