Chapter 10, Problem 8P

BuyFind*arrow_forward*

10th Edition

Frederick J Gravetter + 1 other

ISBN: 9781305504912

Textbook Problem

It appears that there is some truth to the old adage ‘That which doesn’t kill us makes us stronger.” Seery, Holman, and Silver (2010) found that individuals with some history of adversity report better mental health and higher well-being compared to people with little or no history of adversity. In an attempt to examine this phenomenon, a researcher surveys a group of college students to determine the negative life events that they experienced in the past 5 years and their current feeling of well-being. For
*, *and for
*5 *to 10 negative experiences the average score is

a. Is there a significant difference between the two populations represented by these two samples? Use a two-tailed test with

b. Compute Cohen’s *d *to measure the size of the effect.

c. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report.

To determine

We need to find there is any significant difference in the two populations or not also find the Cohen`s d effect size measure.

Explanation

We have provided with two samples with along with summary statistic of each sample. For the significance difference of the two sample mean will follow two sample t-test on the basis of the sample will construct critical point. Then will calculate Cohen's statistic that will give us the effect size measure. Then will conclude the measures will imply what.

**Given:**

We have provided two samples with summary statistic

For first sample,

For second sample,

**Formula used:**

For one sample of size n, we have below formulas

Mean=

SS=

Variance=

If there are two samples of sizes n_{1}_{}and n_{2} we have the following formula for pooled SD,

S_{p}=Pooled Variance

S_{1}^{2}=sample variance of first sample

S_{2}^{2}=sample variance of second sample

Denote,

S_{e}=standard error of the mean,

**Calculation:**

a)

Here will proceed by the steps as,

Essentials Of Statistics

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

Calculus: Early Transcendental Functions

Multivariable Calculus

Calculus (MindTap Course List)

Finite Mathematics and Applied Calculus (MindTap Course List)

Applied Calculus

Calculus: Early Transcendentals

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: An Applied Approach (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Understanding Basic Statistics

Finite Mathematics

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

Single Variable Calculus

Intermediate Algebra

Elementary Geometry For College Students, 7e

Mathematical Excursions (MindTap Course List)

Elementary Technical Mathematics

Mathematical Applications for the Management, Life, and Social Sciences

Trigonometry (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Contemporary Mathematics for Business & Consumers

Calculus of a Single Variable

Elements Of Modern Algebra

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)

Elementary Geometry for College Students

Finite Mathematics for the Managerial, Life, and Social Sciences