Suppose that an airline uses a seat width of 16.1 in. Assume men have hip breadths that are normally distributed with a mean of 14.5 in. and a standard deviation of 1 in. ​(a) Find the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.1 in. ​(b) If a plane is filled with 110 randomly selected​ men, find the probability that these men have a mean hip breadth greater than 16.1 in.   ​(c) Which result should be considered for any changes in seat​ design: the result from part​ (a) or part​ (b)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Suppose that an airline uses a seat width of 16.1 in. Assume men have hip breadths that are normally distributed with a mean of 14.5 in. and a standard deviation of 1 in.

​(a) Find the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.1 in.

​(b) If a plane is filled with
110 randomly selected​ men, find the probability that these men have a mean hip breadth greater than 16.1 in.
 
​(c) Which result should be considered for any changes in seat​ design: the result from part​ (a) or part​ (b)?
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