The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 215.00 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 201.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 215.00 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 201.20 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
202.5 cm
and a standard deviation of
8.3 cm.
a. Find the probability that an individual distance is greater than
215.00
cm.b. Find the probability that the mean for
25
randomly selected distances is greater than 201.20 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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