Chapter 7.5, Problem 1LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A population forms a normal distribution with a mean of μ. = 80 and a standard deviation of σ = 20.

- a. If single score is selected from this population, how much distance would you expect, on average, between the score and the population mean?
- b. If a sample of
*n =*100 scores is selected from this population, how much distance would you expect, on average, between the sample mean and the population mean?

**(a)**

To determine

**To Find:** The distance would you expect, on average between the score and the population mean.

Explanation

**Given info:**

The population forms a normal distribution with a mean of

**Calculation:**

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

The formula for calculating the standard error is,

**(b)**

To determine

**To find:** The distance would you expect, on average between the score and the population mean.

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