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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 5BSC 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 5BSC

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 less than 222.7 cm.

b. If 49 adult females are randomly selected, find the probability that they have a mean overhead reach less than 207.0 cm.

Step-by-Step Solution:

Answer:

Step 1 of 2</p>

The overhead reach distances of adult females = 205.5 cm and = 8.6 cm and overhead reach distances are normally distributed. The overhead reach distances are used in planning assembly work stations.

a. If 1 adult female is randomly selected, the probability that her overhead reach is less than 222.7 cm is:

We are dealing with individual value from a normally distributed population so mean is 205.5 cm and standard deviation is 8.6 cm.

The Test Statistic can be expressed as

     

     

       Z  = 2

To find the associated probability, we have

P()

P(Z 2) = 0.9772 (From Area Under Normal Curve table)

Step 2 of 2

Chapter 6.5, Problem 5BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

The full step-by-step solution to problem: 5BSC 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 less than 222.7 cm.________________b. If 49 adult females are randomly selected, find the probability that they have a mean overhead reach less than 207.0 cm.” is broken down into a number of easy to follow steps, and 90 words. This full solution covers the following key subjects: reach, overhead, adult, distances, Randomly. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 5BSC from 6.5 chapter was answered, more than 665 students have viewed the full step-by-step answer.

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