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The article “Variance Reduction Techniques: Experimental

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 6E Chapter 9.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 6E

 Problem 6E

The article “Variance Reduction Techniques: Experimental Comparison and Analysis for Single Systems” (I. Sabun- cuoglu, M. Fadiloglu, and S. £elik, I1E Transactions, 2008:538-551) describes a study of methods for reducing variance in estimators of the mean inventory on hand. Two systems, the serial line system and the inventory system, were studied, along with two schemes for proportional sampling. The results given below (in percent) are consistent with the means and standard deviations reported in the article.

System

Scheme

 

          Reduction

 

Serial Line

A

6.4

5.8

5.1

8.4

7.0

8.4

8.5

7.5

7.0

7.9

Serial Line

B

4.7

4.7

3.8

5.3

10.6

4.5

8.2

10.8

5.1

5.7

Inventory

A

11.0

8.9

9.3

9.2

7.9

9.7

9.0

12.5

6.7

9.8

Inventory

B

8.9

7.0

10.7

10.3

6.2

12.2

7.0

9.5

8.7

9.7

a. Estimate all main effects and interactions.

b. Construct an ANOVA table. You may give ranges for the P-values.

c. Is the additive model plausible? Provide the value of a test statistic and the P-value.

d. Can the effect of system on reduction be described by interpreting the main effects of system? If so, interpret the main effects, including the appropriate test statistic and P-value. If not, explain why not.

e. Can the effect of scheme on reduction be described by interpreting the main effects of scheme? If so, interpret the main effects, including the appropriate test statistic and P-value. If not, explain why not.

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BIOL 102 Ch. 43 The Immune System Notes  Pathogens: agents that cause disease, infect a wide range of animals, including humans  Immune system: recognizes foreign bodies and responds with the production of immune cells and proteins  Innate immunity: defense active immediately upon infection, all animals have it o Present before exposure to pathogens, effective from time of birth o RAPID RESPONSE 1. WIDE RANGE of pathogens o Barrier defenses: 1. Skin 2. Mucous membranes 3. Secretions o Internal defenses: 1. Phagocytic cells 2. Natural killer cells 3. Antimicrobial proteins

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Chapter 9.3, Problem 6E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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