The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of n= 36, find the probability of a sample mean being less than 12,748 or greater than 12,751 when u= 12,748 and o = 1.6. For the given sample, the probability of a sample mean being less than 12,748 or greater than 12,751 is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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"The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability.

For a sample of n = 36, find the probability of a sample mean being less than 12.748 or greater than 12.751 when μ = 12.748 and σ = 1.6.

For the given sample, the probability of a sample mean being less than 12.748 or greater than 12.751 is [ ]. (Round to four decimal places as needed.)"

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Transcribed Image Text:The text in the image is as follows: --- "The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of n = 36, find the probability of a sample mean being less than 12.748 or greater than 12.751 when μ = 12.748 and σ = 1.6. For the given sample, the probability of a sample mean being less than 12.748 or greater than 12.751 is [ ]. (Round to four decimal places as needed.)" --- Additional components in the image: - Buttons at the bottom: "Help Me Solve This," "View an Example," "Get More Help," "Clear All," and "Check Answer." - A toolbar with icons relating to system utilities and notifications is visible at the bottom of the screen. No graphs or diagrams are present in the image.
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