You have seen that the larger the sample size, the smaller the sampling error tends to be in estimating a population mean by a sample mean. This fact is reected mathematically by the formula for the standard deviation of the sample mean: σ x= σ/vn. For a fixed sample size, explain what this formula implies about the relationship between the population standard deviation and sampling error.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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You have seen that the larger the sample size, the smaller the sampling error tends to be in estimating a population mean by a sample mean. This fact is reected mathematically by the formula for the standard deviation of the sample mean: σ x= σ/vn. For a fixed sample size, explain what this formula implies about the relationship between the population standard deviation and sampling error.

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