Using the Central Limit Theorem. In Exercises 5–10, use this information about the overhead reach distances of adult females: p= 205.5 cm, o = 8.6 cm, and overhead reach distances are normally distributed (based on data from the Federal Aviation Ad- ministration). The overhead reach distances are used in planning assembly work stations. 8. a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 195.0 cm. b. If 25 adult females are randomly selected, find the probability that they have a mean over- head reach greater than 203.0 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Using the Central Limit Theorem. In Exercises 5-10, use this information about the
overhead reach distances of adult females: p = 205.5 cm, o = 8.6 cm, and overhead
reach distances are normally distributed (based on data from the Federal Aviation Ad-
ministration). The overhead reach distances are used in planning assembly work stations.
8. a. If 1 adult female is randomly selected, find the probability that her overhead reach is
greater than 195.0 cm.
b. If 25 adult females are randomly selected, find the probability that they have a mean over-
head reach greater than 203.0 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not
exceed 30?
Transcribed Image Text:Using the Central Limit Theorem. In Exercises 5-10, use this information about the overhead reach distances of adult females: p = 205.5 cm, o = 8.6 cm, and overhead reach distances are normally distributed (based on data from the Federal Aviation Ad- ministration). The overhead reach distances are used in planning assembly work stations. 8. a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 195.0 cm. b. If 25 adult females are randomly selected, find the probability that they have a mean over- head reach greater than 203.0 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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