The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm.  a. find the probability that an individual distance is greater than 207.50 cm.  b. find the probability that the mean for 25 randomly selected distances is greater than 193.70 cm.  c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

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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The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm. 

a. find the probability that an individual distance is greater than 207.50 cm. 

b. find the probability that the mean for 25 randomly selected distances is greater than 193.70 cm. 

c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

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