Chapter 11, Problem 6P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Solve the following problems.

**a.** A repeated-measures study with a sample of n = 16 participants produces a mean difference of *M _{D}* = 3 with a standard deviation of

**b.** Now assume that the sample standard deviation is *s* = 12 and repeat the hypothesis test.

**c.** Explain how the size of the sample standard deviation influences the likelihood of finding a significant mean difference.

**a.**

To determine

**To check:** Whether the sample provides evidence of a significant treatment effect or not.

Explanation

**Given info:**

Numbers of college participants in the sample are

Mean difference is

Sample standard deviation is

Level of significance for two tailed test is

**Calculation:**

The hypotheses are given below:

*Null Hypothesis:*

That is, there is no difference due to different treatments.

*Alternate Hypothesis:*

That is, there is significant difference due to the treatments.

In repeated-measures study, *t* statistic under null hypothesis is given by:

**b.**

To determine

The sample provides evidence of a significant treatment effect.

**c.**

To determine

**To Explain:** How the size of the sample standard deviation influences the likelihood of finding a significant mean difference.

Essentials Of Statistics

Calculus: An Applied Approach (MindTap Course List)

Calculus (MindTap Course List)

Calculus: Early Transcendental Functions

Applied Calculus

Finite Mathematics and Applied Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Multivariable Calculus

Calculus: Early Transcendentals

Precalculus: Mathematics for Calculus (Standalone Book)

Statistics for The Behavioral Sciences (MindTap Course List)

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

Intermediate Algebra

Single Variable Calculus

Finite Mathematics

Mathematical Applications for the Management, Life, and Social Sciences

Mathematical Excursions (MindTap Course List)

Elementary Geometry For College Students, 7e

Elementary Technical Mathematics

Contemporary Mathematics for Business & Consumers

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus of a Single Variable

Trigonometry (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Elements Of Modern Algebra

Introduction To Statistics And Data Analysis

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

Finite Mathematics for the Managerial, Life, and Social Sciences

Study Guide for Stewart's Multivariable Calculus, 8th

Elementary Geometry for College Students