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In Exercises 21-24, use these parameters (based on Data Set 1 "Body Data" in Appendix B):

 In Exercises 21-24, use these parameters (based on Data Set 1 "Body Data" in Appendix B):

 

 Men's heights are normally distributed with mean 68.6 in, and standard deviation 2.8 in.

 Women's heights are normally distributed with mean 63.7 in. and standard deviation 2.9 in. 


21. Navy Pilots The U.S. Navy requires that fighter pilots have heights between 62 in. and 78 in. 

 a. Find the percentage of women meeting the height requirement. Are many women not qualified because they are too short or too tall?

 b. If the Navy changes the height requirements so that all women are eligible except the short- est 3% and the tallest 3%, what are the new height requirements for women?

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