Suppose that an airline uses a seat width of 16.6 in. Assume men have hip breadths that are normally distributed with a mean of 14.1 in. and a standard deviation of 0.9 in. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 ​(a) Find the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.6 in.   The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 2 ​(b) If a plane is filled with 113 randomly selected​ men, find the probability that these men have a mean hip breadth greater than 16.6 in.   The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 3 ​(c) Which result should be considered for any changes in seat​ design: the result from part​ (a) or part​ (b)?   The result from ▼   part (a) part (b) should be considered because ▼   the seats are occupied by individuals rather than means. only average individuals should be considered.

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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Suppose that an airline uses a seat width of
16.6
in. Assume men have hip breadths that are normally distributed with a mean of
14.1
in. and a standard deviation of
0.9
in. Complete parts​ (a) through​ (c) below.
 
 
 

Question content area bottom

Part 1
​(a) Find the probability that if an individual man is randomly​ selected, his hip breadth will be greater than
16.6
in.
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 2
​(b) If a plane is filled with
113
randomly selected​ men, find the probability that these men have a mean hip breadth greater than
16.6
in.
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 3
​(c) Which result should be considered for any changes in seat​ design: the result from part​ (a) or part​ (b)?
 
The result from
 
part (a)
part (b)
should be considered because
 
the seats are occupied by individuals rather than means.
only average individuals should be considered.
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