Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9.3, Problem 12E
The article “Anodic Fenton Treatment of Treflan MTF” (D. Saltmiras and A. Lemley, Journal of Environmental Science and Health. 2001:26l–274) describes a two-factor experiment designed to study the sorption of the herbicide trifluralin. The factors are the initial trifluralin concentration and the Fe2:H2O2 delivery ratio. There were three replications for each treatment. The results presented in the following table are consistent with the means and standard deviations reported in the article.
Initial Concentration (M) | Delivery Ratio | Sorption (%) | ||
15 | 1:0 | 10.90 | 8.47 | 12.43 |
15 | 1:1 | 3.33 | 2.40 | 2.67 |
15 | 1:5 | 0.79 | 0.76 | 0.84 |
15 | 1:10 | 0.54 | 0.69 | 0.57 |
40 | 1:0 | 6.84 | 7.68 | 6.79 |
40 | 1:1 | 1.72 | 1.55 | 1.82 |
40 | 1:5 | 0.68 | 0.83 | 0.89 |
40 | 1:10 | 0.58 | 1.13 | 1.28 |
100 | 1:0 | 6.61 | 6.66 | 7.43 |
100 | 1:1 | 1.25 | 1.46 | 1.49 |
100 | 1:5 | 1.17 | 1.27 | 1.16 |
100 | 1:10 | 0.93 | 0.67 | 0.80 |
- 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 the test statistic, its null distribution, and the P-value.
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A deficiency of the trace element selenium in the diet can negatively impact growth, immunity, muscle and neuromuscular function, and fertility. The introduction of selenium supplements to dairy cows is justified when pastures have low selenium levels. Authors of a research paper supplied the following data on milk selenium concentration (mg/L) for a sample of cows given a selenium supplement (the treatment group) and a control sample given no supplement, both initially and after a 9-day period.
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8.8
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10.4
10.3
10.9
11.4
10.4
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11.6
10.6
10.9
10.9
8.3
After 9 Days
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138.3
9.2
104
8.9
96.4
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Initial Measurement
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11.2
9.1
9.6
8.7
10.1
9.7
8.5
10.8
10.3
10.9
10.6
10.6
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9.7
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8.8
10.3
10.4
10.4
10.9
11.2
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11.6
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10.9
10.7
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138.3
9.3
104
8.7
96.4
8.7
89
10.1
88
9.6
103.8
8.6
147.3
10.2
97.1
12.2
172.6
9.3
146.3
9.5
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8.2
122.3
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117.8
9.1
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(a)
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11.3
9.1
9.7
8.7
10.1
9.7
8.5
10.8
10.4
10.9
10.7
10.6
11.8
10.1
9.8
12.3
10.6
8.8
10.4
10.4
10.2
10.9
11.3
10.4
9.2
11.6
10.7
10.9
10.8
8.2
After 9 Days
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138.3
9.4
104
8.8
96.4
8.8
89
10.1
88
9.7
103.8
8.7
147.3
10.3
97.1
12.3
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146.3
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Chapter 9 Solutions
Statistics for Engineers and Scientists
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