   # The following data are from matched samples taken from two populations. Element Population 1 2 1 11 8 2 7 8 3 9 6 4 12 7 5 13 10 6 15 15 7 15 14 a. Compute the difference value for each element. b. Compute d ¯ . c. Compute the standard deviation s d . d. What is the point estimate of the difference between the two population means? e. Provide a 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 10.3, Problem 20E
Textbook Problem
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## The following data are from matched samples taken from two populations. Element Population 1 2 1 11 8 2 7 8 3 9 6 4 12 7 5 13 10 6 15 15 7 15 14 a. Compute the difference value for each element. b. Compute d ¯ . c. Compute the standard deviation sd. d. What is the point estimate of the difference between the two population means? e. Provide a 95% confidence interval for the difference between the two population means.

a.

To determine

Find the difference value for each element.

### Explanation of Solution

Calculation:

The data represents the matched samples drawn from two populations.

The difference values for each of the 7 elements are tabulated below,

 Population d 1 2 11 8 11−8=3 7 8 7−8=1 9 6 9−6=

b.

To determine

Find d¯ value.

c.

To determine

Find the standard deviation sd.

d.

To determine

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

e.

To determine

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

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