Chapter 7, Problem 5P

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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

Population mean is

Population standard deviation is

**Calculation:**

If
*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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