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

One sample has SS = 36 and a second sample has SS = 18.

a. If n = 4 for both samples, find each of the sample variances and compute the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances.

  b. Now assume that n = 4 for the first sample and n = 7 for the second. Again, calculate the two sample variances and the pooled variance. You should find that the pooled variance is closer to the variance for the larger sample.

a.

To determine

To Find: The sample variances and pooled variance for given question.

Explanation

Given info:

Two samples each of size 4 has sum of squared difference (SS) equal 36 and 18.

Calculations:

The formula for sample variance is:

s2=SSn1

Substitute SS1=36 and n1=4.

s12=363=12

Similarly, substitute SS2=18 and n2=4

s22=183=6

Now, the degrees of freedom are calculated as:

df1=df2=n1...........

b.

To determine

To Find: The sample variances and pooled variance for the given question.

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

Simplify the expressions in Exercises 97106. 41/147/2

Finite Mathematics and Applied Calculus (MindTap Course List)

Rewrite the expression without using the absolute-value symbol. 4. | 2|

Single Variable Calculus: Early Transcendentals, Volume I

38. Find the 73rd term of the arithmetic sequence with first term 20 and 10th term 47.

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 5-8, plot the graph of the function f in an appropriate viewing window. (Note: The answer is not u...

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

Simplifying Factorials In Exercises 1720, simplify the ratio of factorials. (2n+2)!(2n)!

Calculus: Early Transcendental Functions (MindTap Course List)

True or False: In the definition of , the expression is interpreted as “the distance between f(x) and L is les...

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