Chapter 7, Problem 11P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A normal distribution has a mean of μ = 60 and a standard deviation of σ = 18. For each of the following samples, compute the *z*-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size.

**a.** *M =* 67 for *n* = 4 scores

**b***. M* = 67 for *n =* 36 scores

**a.**

To determine

**To find:** The *z*-score for the sample mean.

**To determine:** Sample mean is a typical, representative value or an extreme value.

Explanation

**Given info:**

The population mean is

**Calculation:**

If
*n* represents numbers of scores in each sample. Let *M* represents sample mean. Then, *z*-score is given by:

Consider
**,**

**b.**

To determine

**To find:** The *z*-score for the sample mean.

**To determine:** Sample mean is a typical, representative value or an extreme value.

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