**Title: Analysis of Women's Height Requirements in Military Recruitment** A study found that women’s heights are normally distributed with a mean of 63.8 inches and a standard deviation of 2.4 inches. In a branch of the military, requirements specify that women’s heights must be between 58 inches and 80 inches. ### Questions: **a. Calculating the Percentage of Women Meeting Height Requirements:** What percentage of women meet the current height requirement? (Round to two decimal places.) 1. Are many women 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. No, because the percentage of women who meet the height requirement is fairly small. - O D. Yes, because the percentage of women who meet the height requirement is fairly large. **b. Adjusting the Height Requirements:** For the new height requirements, this branch of the military decides that women’s heights must be at least [___] inches and at most [___] inches. (Round to one decimal place as needed.) **Instructions:** Click to select your answer(s). --- ### Explanation: This text discusses a statistical analysis of height requirements for women in a specific military branch. It first requires the calculation of the percentage of women who currently meet the set height criteria, using the information provided about the distribution of women's heights. The next part involves adjusting these requirements to exclude only the shortest 1% and the tallest 2% of applicants. By doing so, it explores how changing these parameters affects eligibility, indicating a potential shift in recruitment strategy or inclusion policy. This scenario is typical for statistical and probability discussions, where normal distribution and z-scores might be applied to find the necessary thresholds for new requirements.

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**Title: Analysis of Women's Height Requirements in Military Recruitment**

A study found that women’s heights are normally distributed with a mean of 63.8 inches and a standard deviation of 2.4 inches. In a branch of the military, requirements specify that women’s heights must be between 58 inches and 80 inches.

### Questions:

**a. Calculating the Percentage of Women Meeting Height Requirements:**

What percentage of women meet the current height requirement? (Round to two decimal places.)

1. Are many women 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. No, because the percentage of women who meet the height requirement is fairly small.
   - O D. Yes, because the percentage of women who meet the height requirement is fairly large.

**b. Adjusting the Height Requirements:**

For the new height requirements, this branch of the military decides that women’s heights must be at least [___] inches and at most [___] inches. (Round to one decimal place as needed.)

**Instructions:**

Click to select your answer(s).

---

### Explanation:

This text discusses a statistical analysis of height requirements for women in a specific military branch. It first requires the calculation of the percentage of women who currently meet the set height criteria, using the information provided about the distribution of women's heights.

The next part involves adjusting these requirements to exclude only the shortest 1% and the tallest 2% of applicants. By doing so, it explores how changing these parameters affects eligibility, indicating a potential shift in recruitment strategy or inclusion policy. 

This scenario is typical for statistical and probability discussions, where normal distribution and z-scores might be applied to find the necessary thresholds for new requirements.
Transcribed Image Text:**Title: Analysis of Women's Height Requirements in Military Recruitment** A study found that women’s heights are normally distributed with a mean of 63.8 inches and a standard deviation of 2.4 inches. In a branch of the military, requirements specify that women’s heights must be between 58 inches and 80 inches. ### Questions: **a. Calculating the Percentage of Women Meeting Height Requirements:** What percentage of women meet the current height requirement? (Round to two decimal places.) 1. Are many women 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. No, because the percentage of women who meet the height requirement is fairly small. - O D. Yes, because the percentage of women who meet the height requirement is fairly large. **b. Adjusting the Height Requirements:** For the new height requirements, this branch of the military decides that women’s heights must be at least [___] inches and at most [___] inches. (Round to one decimal place as needed.) **Instructions:** Click to select your answer(s). --- ### Explanation: This text discusses a statistical analysis of height requirements for women in a specific military branch. It first requires the calculation of the percentage of women who currently meet the set height criteria, using the information provided about the distribution of women's heights. The next part involves adjusting these requirements to exclude only the shortest 1% and the tallest 2% of applicants. By doing so, it explores how changing these parameters affects eligibility, indicating a potential shift in recruitment strategy or inclusion policy. This scenario is typical for statistical and probability discussions, where normal distribution and z-scores might be applied to find the necessary thresholds for new requirements.
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