Chapter 9, Problem 7P

BuyFind*arrow_forward*

10th Edition

Frederick J Gravetter + 1 other

ISBN: 9781305504912

Textbook Problem

The following sample of

Scores: 2, 2, 6, 2

a. Compute the sample mean and standard deviation. (Note that these are descriptive values that summarize the sample data.)

b. Compute the estimated standard error for
* . *(Note that this is an inferential value that describes how accurately the sample mean represents the unknown population mean.)

To determine

Sample mean, standard deviation and estimated standard error of the sample mean from the sample.

Explanation

**Given:**

n=4, sample values = 2,2,6,2

**Formula used:**

**a) ** For calculating sample mean(M) we simply need to do calculation without any second thought, and the same is true for calculating sample standard deviation.

Sample Mean (M) =

**b** ) The formula for standard error for sample mean(M) is available in generalized case, in terms of population variance, considering the population variance is known if it is not known we use its estimate based on the sample. The best estimate of population variance is sample mean square which is the square of sample standard deviation.

S.E (M) =

Essentials Of Statistics

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

Calculus (MindTap Course List)

Multivariable Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus (MindTap Course List)

Calculus: Early Transcendental Functions

Single Variable Calculus: Early Transcendentals, Volume I

Applied Calculus

Calculus: An Applied Approach (MindTap Course List)

Calculus: Early Transcendentals

Finite Mathematics and Applied Calculus (MindTap Course List)

Understanding Basic Statistics

Probability and Statistics for Engineering and the Sciences

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

Single Variable Calculus

Finite Mathematics

Elementary Geometry For College Students, 7e

Intermediate Algebra

Elementary Technical Mathematics

Mathematical Applications for the Management, Life, and Social Sciences

Mathematical Excursions (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Trigonometry (MindTap Course List)

Elements Of Modern Algebra

Calculus of a Single Variable

Contemporary Mathematics for Business & Consumers

Study Guide for Stewart's Multivariable Calculus, 8th

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

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students