Chapter 10, Problem 6P

BuyFind*arrow_forward*

10th Edition

Frederick J Gravetter + 1 other

ISBN: 9781305504912

Textbook Problem

Two separate samples receive different treatments. After treatment, the first sample has

a. Compute the pooled variance for the two samples.

b. Calculate the estimated standard error for the sample mean difference.

c. If the sample mean difference is 10 points, is this enough to reject the null hypothesis using a two-tailed test with

To determine

Sample variances, Pooled variance, standard error of mean difference, also we need to take decision that a difference of mean is significant or not.

Explanation

Here we have given with different two SS and we need to find variance as well as pooled variance so here we will use general formula so that we can use for any two different sample size.

Here we need to find that the standard error of mean difference that will be described that how far is the distance of the two means of the sample from the population difference. Also we have testing in the part c there will be decide that whether true difference is 10 or not basis of sample data we have.

**Given:**

Here we are provided with two SS that is SS_{1}=462 and SS_{2}_{}= 420, also for

n_{1}=9, n_{2}=7

**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:**

- Here

Essentials Of Statistics

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

Calculus: An Applied Approach (MindTap Course List)

Calculus: Early Transcendental Functions

Single Variable Calculus: Early Transcendentals, Volume I

Multivariable Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus (MindTap Course List)

Applied Calculus

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus: Early Transcendentals

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

Mathematical Applications for the Management, Life, and Social Sciences

Mathematical Excursions (MindTap Course List)

Elementary Geometry For College Students, 7e

Elementary Technical Mathematics

Intermediate Algebra

Calculus of a Single Variable

Trigonometry (MindTap Course List)

Contemporary Mathematics for Business & Consumers

Single Variable Calculus: Early Transcendentals

Elements Of Modern Algebra

Elementary Geometry for College Students

Study Guide for Stewart's Multivariable Calculus, 8th

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

Finite Mathematics for the Managerial, Life, and Social Sciences

Calculus: Early Transcendental Functions (MindTap Course List)

Introduction To Statistics And Data Analysis

Research Methods for the Behavioral Sciences (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Research Methods for the Behavioral Sciences (MindTap Course List)

College Algebra (MindTap Course List)

Mathematics For Machine Technology

Multivariable Calculus

Calculus (MindTap Course List)