b. If 29 different women are randomly selected, find the probability that their mean weight is between 150 lb and 221 lb.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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14 ( B and C )
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 172 lb and a standard deviation of 37 lb. Complete parts (a) through (c)
below.
a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 221 lb.
The probability is approximately 0.6290. (Round to four decimal places as needed.)
b. If 29 different women are randomly selected, find the probability that their mean weight is between
150 lb and 221 lb.
The probability is approximately (Round to four decimal places as needed.)
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Transcribed Image Text: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 172 lb and a standard deviation of 37 lb. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 221 lb. The probability is approximately 0.6290. (Round to four decimal places as needed.) b. If 29 different women are randomly selected, find the probability that their mean weight is between 150 lb and 221 lb. The probability is approximately (Round to four decimal places as needed.) Clear All Check Answer Get More Help - Next * Previous coster D-Matic Aa DII DD F12 F11 F10 F9 F8 F7 delete 8 I { } +II
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