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22.65 in. and a standard deviation of 0.80 in. (based on data from the National Nutrition Examination Survey). ats by Leko company produces women's hats so that they fit head circumferences 1.00 in. and 25.00 in., what percentage of women can fit into these hats? ompany wants to produce hats to fit all women except for those with the smallest the largest 2 5% head circumferences, what head circumferences should be accom

22.65 in. and a standard deviation of 0.80 in. (based on data from the National Nutrition Examination Survey). ats by Leko company produces women's hats so that they fit head circumferences 1.00 in. and 25.00 in., what percentage of women can fit into these hats? ompany wants to produce hats to fit all women except for those with the smallest the largest 2 5% head circumferences, what head circumferences should be accom

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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13. Designing Hats Women have head circumferences that are normally distributed with a mean of 22.65 in. and a standard deviation of 0.80 in. (based on data from the National Health and Nutrition Examination Survey). a. If the Hats by Leko company produces women's hats so that they fit head circumferences between 21.00 in. and 25.00 in., what percentage of women can fit into these hats? b. If the company wants to produce hats to fit all women except for those with the smallest 2.5% and the largest 2.5% head circumferences, what head circumferences should be accom- modated? continued c. If 64 women are randomly selected, what is the probability that their mean head circum- ference is between 22.00 in. and 23.00 in.? If this probability is high, does it suggest that an order for 64 hats will very likely fit each of 64 randomly selected women? Why or why not?
Transcribed Image Text:13. Designing Hats Women have head circumferences that are normally distributed with a mean of 22.65 in. and a standard deviation of 0.80 in. (based on data from the National Health and Nutrition Examination Survey). a. If the Hats by Leko company produces women's hats so that they fit head circumferences between 21.00 in. and 25.00 in., what percentage of women can fit into these hats? b. If the company wants to produce hats to fit all women except for those with the smallest 2.5% and the largest 2.5% head circumferences, what head circumferences should be accom- modated? continued c. If 64 women are randomly selected, what is the probability that their mean head circum- ference is between 22.00 in. and 23.00 in.? If this probability is high, does it suggest that an order for 64 hats will very likely fit each of 64 randomly selected women? Why or why not?
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