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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 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.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter
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BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

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
  1. a. Compute the difference value for each element.
  2. b. Compute d ¯ .
  3. c. Compute the standard deviation sd.
  4. d. What is the point estimate of the difference between the two population means?
  5. 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,

Populationd
12
118118=3
7878=1
9696=

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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Chapter 10 Solutions

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