**Educational Website Text:**The population mean and standard deviation are given below. Find the indicated probability and determine whether the given sample mean would be considered unusual.For a sample of \( n = 40 \), find the probability of a sample mean being less than 12.750 or greater than 12.753 when \( \mu = 12.750 \) and \( \sigma = 1.8 \).For the given sample, the probability of a sample mean being less than 12.750 or greater than 12.753 is _____. (Round to four decimal places as needed.)Would the given sample be considered unusual?- **O A.** The sample mean would be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. - **O B.** The sample mean would be considered unusual because there is a probability less than 0.05 of the sample mean being within this range. - **O C.** The sample mean would not be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. - **O D.** The sample mean would not be considered unusual because there is a probability less than 0.05 of the sample mean being within this range.*Note: There are no graphs or diagrams in this text.*

Given,Population mean, μ = 12750Population standard deviation, σ = 1.8Sample size, n = 40Let =…

Answered: The population mean and standard…

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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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample ofn=70, find the probability of a sample mean being less than 24.2 if p = 24 and o= 1.23. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. For a sample of n = 70, the probability of a sample mean being less than 24.2 if u = 24 and o = 1.23 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean be considered unusual because it has a probability that is than 5%.
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