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 of n=65​, find the probability of a sample mean being greater than 213 if μ=212 and σ=3.5. For a sample of n=65​, the probability of a sample mean being greater than 213 if μ=212 and σ=3.5 is 77.​(Round to four decimal places as​ needed.) Would the given sample mean be considered​ unusual? The sample mean would would would not be considered unusual because it does not lie lies does not lie within the range of a usual​ event, namely within 2 standard deviations 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 of n=65​, find the probability of a sample mean being greater than 213 if μ=212 and σ=3.5. For a sample of n=65​, the probability of a sample mean being greater than 213 if μ=212 and σ=3.5 is 77. ​(Round to four decimal places as​ needed.) Would the given sample mean be considered​ unusual? The sample mean would would would not be considered unusual because it does not lie lies does not lie within the range of a usual​ event, namely within 2 standard deviations 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.
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