Chapter 7.2, Problem 2LC

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

# Describe the relationship between the sample size and the standard error of M.

To determine

To find: The relationship between the sample mean and the standard error of M.

Explanation

Calculation:

The problem belongs to the concept of sampling distribution. The standard error provides a measure of how much distance is expected on average between a sample mean and the population mean.

Assume that the population has a normal distribution with a mean of μ=40 and standard deviation of σ=8. The sample sizes are, n=4 and n=1.

The formula for standard error is,

σM=σn

For n=1:

The value of standard e

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