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# Solved: Using the Central Limit Theorem. In Exercises, use

ISBN: 9780321836960 18

## Solution for problem 10BSC Chapter 6.5

Elementary Statistics | 12th Edition

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Problem 10BSC

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 between 180.0 cm and 200.0 cm.

b. If 50 adult females are randomly selected, find the probability that they have a mean overhead reach between 198.0 cm and 206.0 cm.

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Solution 10BSC

If 1 adult female is randomly selected, the probability of her overhead reach is between 180.0 cm and 200.0 cm is 0.2596.If...
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