Chapter 9, Problem 18P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A random sample of n = 16 scores is obtained from a population with a mean of
*M* = 49.2.

a. Assuming that the sample standard deviation is *s* = 8. compute *r*^{2} and the estimated Cohen's *d* to measure the sue of the treatment effect.

b. Assuming that the sample standard deviation is *s* = 20, compute *r*^{2} and the *r*^{2} estimated Cohen's *d* to measure the size of the treatment effect.

c. Comparing your answers from parts a and b, how does the variability of the scores in the sample influence the measures of effect size?

**a.**

To determine

**To Find:** Whether or not to conclude that the treatment has a significant effect for the given question using two-tailed test with

Explanation

**Given info:**

A sample of 16 individual is selected from a population with mean 45. The sample mean is 49.2 and standard deviation,

**Calculation:**

Step 1: Null Hypothesis is

Step 2: For a sample of
*t*-table as

Step 3: The *t*-statistics can be calculated using formula:

Calculate

Now, substitute 49.2 for

Step 4: Rejection rule: Reject when

**b.**

To determine

**To Find:** Whether or not to conclude that the treatment has a significant effect for the given question using two-tailed test with

**c.**

To determine

**To State :** What is the impact of sample size on the outcome of a hypothesis test and on the measure of effective size.

Understanding Basic Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Essentials Of Statistics

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

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

Elements Of Modern Algebra

Finite Mathematics for the Managerial, Life, and Social Sciences

Calculus: Early Transcendental Functions

Finite Mathematics

Elementary Geometry For College Students, 7e

Intermediate Algebra

Single Variable Calculus

Calculus: An Applied Approach (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Calculus: Early Transcendental Functions (MindTap Course List)

Applied Calculus

Contemporary Mathematics for Business & Consumers

Calculus of a Single Variable

Mathematical Applications for the Management, Life, and Social Sciences

Finite Mathematics and Applied Calculus (MindTap Course List)

Trigonometry (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Multivariable Calculus

Calculus: Early Transcendentals

Mathematical Excursions (MindTap Course List)

Elementary Technical Mathematics

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