   # The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n 1 = 20 n 2 = 30 x ¯ 1 = 2 2.5 x ¯ 2 = 2 0. 1 s 1 = 2.5 s 2 = 4.8 a. What is the point estimate of the difference between the two population means? b. What is the degrees of freedom for the t distribution? c. At 95% confidence, what is the margin of error? d. What is the 95% confidence interval for the difference between the two population means? 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 10.2, Problem 9E
Textbook Problem
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## The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x ¯ 1 = 2 2.5 x ¯ 2 = 2 0. 1 s1 = 2.5 s2 = 4.8 a. What is the point estimate of the difference between the two population means? b. What is the degrees of freedom for the t distribution? c. At 95% confidence, what is the margin of error? d. What is the 95% confidence interval for the difference between the two population means?

a.

To determine

Find the point estimate of the difference between the two population means.

### Explanation of Solution

Calculation:

The results of two independent random samples drawn from two populations are as follows:

 Sample 1 Sample 2 n1=20 n2=30 x¯1=22.5 x¯2=20.1 s1=2.5 s2=4

b.

To determine

Find the degrees of freedom for the t distribution.

c.

To determine

Find the margin of error at 95% confidence.

d.

To determine

Find the 95% confidence interval for the difference between the two population means.

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