Answered: When women were finally allowed to…

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

When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 150 lb and 221 lb. Weights of women are now normally distributed with a mean of 169 lb and a standard deviation of 39 lb. Complete parts (a) through (c) below.

a. If 1 woman is randomly selected, find the probability that her weight is between 150lb and 221lb.

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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b. If 26 different women are randomly selected, find the probability that their mean weight is between150 lb and 221 lb.The probability is approximately

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(Round to four decimal places as needed.)

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