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Using the Central Limit Theorem. In Exercises use this

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 8BSC Chapter 6.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 8BSC

Using the Central Limit Theorem. In Exercises use this information about the overhead reach distances of adult females:μ = 205.5 cm,σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from the Federal Aviation Administration). The overhead reach distances are used in planning assembly work stations.

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 overhead 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?

Step-by-Step Solution:
Step 1 of 3

Solution 8BSC

If 1 adult female is randomly selected, the probability that her overhead reach is greater than 195.0 cm is 0.8889.If 25 adult female is randomly selected, the probability that her overhead reach is greater than...
Step 2 of 3

Chapter 6.5, Problem 8BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. This full solution covers the following key subjects: reach, overhead, distances, adult, Probability. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. Since the solution to 8BSC from 6.5 chapter was answered, more than 553 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 8BSC from chapter: 6.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “Using the Central Limit Theorem. In Exercises use this information about the overhead reach distances of adult females:? = 205.5 cm,? = 8.6 cm, and overhead reach distances are normally distributed (based on data from the Federal Aviation Administration). The overhead reach distances are used in planning assembly work stations.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 overhead 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?” is broken down into a number of easy to follow steps, and 109 words.

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Using the Central Limit Theorem. In Exercises use this

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