Chapter 7, Problem 4P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A population has a standard deviation of σ *=* 24.

**a.**On average, how much difference should exist between the population mean and the sample mean for*n*= 4 scores randomly selected from the population?**b.**On average, how much difference should exist for a sample of*n*= 9 scores?**c.**On average, how much difference should exist for a sample of*n*= 16 scores?

**a.**

To determine

Average difference between the sample mean and population mean for a random sample of
n = 4 scores.

Explanation

**Given info:**

Population standard deviation is

**Calculation:**

Let
*n* represents the population standard deviation and number of scores in the sample. Then,

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

**b.**

To determine

Average difference between the sample mean and population mean for a random sample of
n = 9 scores.

**c.**

To determine

Average difference between the sample mean and population mean for a random sample of
n = 16 scores.

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