Question Help Men's heights are normally distributed with mean 70.2 in and standard deviation of 2.8 in. Women's heights are normally distributed with mean 63.3 in and standard deviation of 2.5 in. The standard doorway height is 80 in. a. What percentage of men are too tall to fit through a standard doorway without bending, and what percentage of women are too tall to fit through a standard doorway without bending? b. If a statistician designs a house so that all of the doorways have heights that are sufficient for all men except the tallest 5%, what doorway height would be used? Click to view page of the tahlo Click tn ui

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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Men's heights are normally distributed with mean 70.2 in and standard deviation of 2.8 in. Women's heights are normally distributed with mean 63.3 in and standard deviation of 2.5 in. The standard doorway height is 80 in. a. What
percentage of men are too tall to fit through a standard doorway without bending, and what percentage of women are too tall to fit through a standard doorway without bending? b. If a statistician designs a house so that all of the
doorways have heights that are sufficient for all men except the tallest 5%, what doorway height would be used?
Click to view page of the tahlo Click tn ui
Transcribed Image Text:Question Help Men's heights are normally distributed with mean 70.2 in and standard deviation of 2.8 in. Women's heights are normally distributed with mean 63.3 in and standard deviation of 2.5 in. The standard doorway height is 80 in. a. What percentage of men are too tall to fit through a standard doorway without bending, and what percentage of women are too tall to fit through a standard doorway without bending? b. If a statistician designs a house so that all of the doorways have heights that are sufficient for all men except the tallest 5%, what doorway height would be used? Click to view page of the tahlo Click tn ui
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