BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference.

  1. a. The first sample has n = 4 scores and a variance of s2 = 55, and the second sample has n = 6 scores and a variance of s2 = 63.
  2. b. Now the sample variances are increased so that the first sample has n = 4 scores and a variance of s2 = 220, and the second sample has n = 6 scores and a variance of s2 = 252.
  3. c. Comparing your answers for parts a and b, how does increased variance influence the size of the estimated standard error?

a.

To determine

To Find: The estimated standard error for the given question

Explanation

Given info:

Two samples with size 4 and 6 have variance 55 and 63 respectively.

Calculations:

The degrees of freedom for two samples is:

df1=n11=41=3

Similarly,

df2=n21=61=5

The pooled variance can be calculated using formula

sp2=(df1)s12+(df2)s22df1+df2

Substitute 55 for s12, 63 for s22, 3 for df1 and 5 for df2 in the above formula

sp2=

b.

To determine

To Find: The estimated standard error for the given question.

c.

To determine

To Describe: Increased variance influence the size of the estimated standard error.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Describe the basic characteristics that define an independent-measures, or a between-subjects, research study.

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

Value of an investment The number of IBM shares that Nancy owns is given by f(t). The price per share of the st...

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

Simplify: 1518

Elementary Technical Mathematics

Convert from radians to degrees. 8. 72

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate .

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