Chapter 7.4, Problem 1LC

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

If a sample is selected from a population with a mean of μ = 120 and a standard deviation of σ = 20, then, on average, how much difference should there be between the sample mean and the population mean a. for a sample of n = 25 scores? b. for a sample of n = 100 scores?

(a)

To determine

To find: The difference between the sample mean and population mean.

Explanation

Given info:

The sample is selected from a population with a mean of μ=120 and standard deviation of σ=20. The sample size is n=25.

Calculation:

Standard error:

The standard error provides a measure of how much distance is expected on average between a sample mean and the population mean.

Value of standard error:

σM=σ

(b)

To determine

To find: The difference between the sample mean and population mean.

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