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The article “Efficient Pyruvate Production by a

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

Solution for problem 4E Chapter 9.5

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 4E

The article “Efficient Pyruvate Production by a Multi-Vitamin Auxotroph of Torulopsis glabrata: Key Role and Optimization of Vitamin Levels” (Y. Li, J. Chen, et al. Applied Microbiology and Biotechnology, 2001,:680-685) investigates the effects of the levels of several vitamins in a cell culture on the yield (in g/L) of pyruvate, a useful organic acid. The data in the following table are presented as two replicates of a 2' design. The factors arc A: nicotinic acid. B: thiamine, and C: biotin. (Two statistically insignificant factors have been dropped. In the article, each factor was tested at four levels; we have collapsed these to two.)

A

B

C

Yields

Mean Yield

1

-1

-1

0.55,0.49

0.520

1

-1

-1

0.60,0.42

0.510

-1

1

-1

0.37,0.28

0.325

1

1

-1

0.30,0.28

0.290

-1

-1

1

0.54,0.54

0.540

1

-1

1

0.54,0.47

0.505

-l

1

1

0.44,0.33

0.385

1

1

1

0.36,0.20

0.280

a. Compute estimates of the main effects and interactions, and the sum of squares and P-value for each.

b. Is the additive model appropriate?

c. What conclusions about the factors can be drawn from these results?

Step-by-Step Solution:
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MICROBIOLOGY [BIOL 2300] NOTES WEEK OF JAN 10 AND WEEK OF JAN 17 CHAPTER 1 HUMANS AND THE MICROBIAL WORLD OTHER IMPORTANT MED TERMS Normal flora is the human microbiome. Objective: data through test Another name for this is...

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Chapter 9.5, Problem 4E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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