Assuming weights of female athletes are normally distributed with a mean of 140 lbs and a standard deviation of 15 lbs, what is the probability that a randomly selected female athlete weighs more than 170 lbs? Also, is the probability above the same as the probability that a randomly selected sample of size ? (where ? > 1) has a mean weight more than 170 lbs?

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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Assuming weights of female athletes are normally distributed with a mean of 140 lbs and a standard deviation of 15 lbs, what is the probability that a randomly selected female athlete weighs more than 170 lbs? Also, is the probability above the same as the probability that a randomly selected sample of size ? (where ? > 1) has a mean weight more than 170 lbs?

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