Chapter 7, Problem 12P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A random sample is obtained from a normal population with a mean of μ = 95 and a standard deviation of σ *=* 40. The sample mean is *M* = 86.

**a.**Is this a representative sample mean or an extreme value for a sample of*n =*16 scores?**b.**Is this a representative sample mean or an extreme value for a sample of*n*= 100 scores?

**a.**

To determine

The sample mean is a representative value or extreme value for a sample of
n = 16 scores.

Explanation

**Given info:**

Population mean is

Standard deviation is

Sample mean is

Sample size 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

Sample mean is a representative value or extreme value for a sample of
n = 100 scores.

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Essentials Of Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Understanding Basic Statistics

Contemporary Mathematics for Business & Consumers

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Single Variable Calculus: Early Transcendentals, Volume I

Trigonometry (MindTap Course List)

Elementary Geometry For College Students, 7e

Single Variable Calculus

Elements Of Modern Algebra

Applied Calculus

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus (MindTap Course List)

Mathematical Applications for the Management, Life, and Social Sciences

Finite Mathematics for the Managerial, Life, and Social Sciences

Calculus: Early Transcendental Functions (MindTap Course List)

Elementary Technical Mathematics

Calculus: An Applied Approach (MindTap Course List)

Calculus: Early Transcendental Functions

Calculus of a Single Variable

Precalculus: Mathematics for Calculus (Standalone Book)

Multivariable Calculus

Intermediate Algebra

Mathematical Excursions (MindTap Course List)

Calculus: Early Transcendentals

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Introduction To Statistics And Data Analysis

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Elementary Geometry for College Students

Study Guide for Stewart's Multivariable Calculus, 8th