Suppose that the mean chest size of certain soldiers is 39.8 inches with a standard deviation of 2.2 inches. A histogram of chest sizes shows an approximately normal curve. Given this information, answer the following questions: (d) A soldier had chest size measured at least as large as 75% of all Scottish militiamen. What was his chest size?  (e) What chest size does the soldiers have to have to make the probability in part (a) less than 0.01? (f) What chest size does the soldiers have to have to make the probability in part (b) greater than 0.99?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. Suppose that the mean chest size of certain soldiers is 39.8 inches with a standard deviation of
2.2 inches. A histogram of chest sizes shows an approximately normal curve. Given this information,
answer the following questions:
(d) A soldier had chest size measured at least as large as 75% of all Scottish militiamen. What
was his chest size? 

(e) What chest size does the soldiers have to have to make the probability in part (a) less than
0.01?
(f) What chest size does the soldiers have to have to make the probability in part (b) greater
than 0.99?

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