Answered: Find the proportion of adult men flying…

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Statistics

Find the proportion of adult men flying on this airline whose knees will touch the back of the seat in front of them.

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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Question

Suppose that the distance from the seat back to the front of the knees of seated adult males is normally distributed with mean 23.6 inches and standard deviation 1.3 inches. On the planes operated by a particular airline, the distance from the seat back to the back of the next seat forward in all seats is 25.9 inches. Find the proportion of adult men flying on this airline whose knees will touch the back of the seat in front of them. (Round to 3 decimal places.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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