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Essentials of Statistics for the B...

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

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

For a population with a mean of μ = 70 and a standard deviation of σ = 20, how much error, on average, would you expect between the sample mean (M) and the population mean for each of the following sample sizes?

a. n = 4 scores

b. n = 16 scores

c. n = 25 scores

a.

To determine
The standard error of the distribution of sample means corresponding to n=4 scores.

Explanation

Given info:

Numbers of scores in each sample are n=4.

Population mean is μ=70.

Population standard deviation is σ=20 .

Calculation:

If μ and σ represents the population mean and standard deviation respectively. Let n represents numbers of scores in each sample.

Standard error measures the distance expected on an average between sample mean and population mean

b.

To determine
The standard error of the distribution of sample means corresponding to n=16 scores.

c.

To determine
The standard error of the distribution of sample means corresponding to n=25 scores.

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