Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 11.3, Problem 30E
a.
To determine
Construct the ANOVA table.
b.
To determine
Test the main effects and the interactions at 5% level of significance.
c.
To determine
Identify the significant difference in the percentage of nitrogen levels using Tukey procedure.
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Compute the test statistic value. (Round your answer to two decimal places.)f = What can be said about the P-value for the test?
P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001
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Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - An experiment was carried out to investigate the...Ch. 11.1 - Four different coatings are being considered for...Ch. 11.1 - Prob. 3ECh. 11.1 - In an experiment to see whether the amount of...Ch. 11.1 - In an experiment to assess the effect of the angle...Ch. 11.1 - A particular county employs three assessors who...Ch. 11.1 - Prob. 7ECh. 11.1 - The paper Exercise Thermoregulation and...Ch. 11.1 - The article The Effects of a Pneumatic Stool and a...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - Prob. 17ECh. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - Prob. 46ECh. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - Prob. 51SECh. 11 - Prob. 52SECh. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - Prob. 57SECh. 11 - Prob. 58SECh. 11 - The bond strength when mounting an integrated...Ch. 11 - Prob. 60SECh. 11 - Prob. 61SE
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- Interpret the following statement regarding the statistical findings of a research study. “61% (n = 36) of recipients of the low-carbohydrate diet and 23% (n = 14) of recipients of the low-fat diet completed the study and lost greater than 10% of their initial body weight (P < 0.001).” Number of participants who completed the study and lost greater than 10% of their body weight: P-value: Does this p-value indicate a statistically-significant difference in the average weight loss between the two groups:arrow_forwardA paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below. Whites (W) 8.3 0.9 2.9 5.6 5.8 5.4 1.2 1.0 1.4 2.1 1.3 5.3 8.4 6.6 5.2 3.4 2.9 2.7 6.7 3.6 African Americans (AA) 4.8 1.4 0.9 10.8 2.4 0.6 5.0 5.4 6.1 2.9 5.0 2.1 7.5 3.4 13.6 1.4 3.7 3.3 14.8 3.9 (a) Calculate the values of the mean and the median for blood lead level for the sample of African Americans. mean median (b) Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median? The median is greater than the mean. This is explained by the fact that the distribution is positively skewed. The mean is greater than the median. This is explained by the fact that the distribution is positively skewed. The median is greater than the mean. This is explained by the fact that the…arrow_forwardA paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below. Whites (W) 8.3 0.9 2.9 5.6 5.8 5.4 1.2 1.0 1.4 2.1 1.3 5.3 8.4 6.6 5.2 3.6 2.9 2.7 6.7 3.8 African Americans (AA) 4.8 1.4 0.9 10.8 2.4 0.6 5.0 5.4 6.1 2.9 5.0 2.1 7.5 3.4 13.4 1.4 3.9 3.3 14.8 4.1 (a) Calculate the values of the mean and the median for blood lead level for the sample of African Americans. meanmedian (b) Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median? The mean is greater than the median. This is explained by the fact that the distribution is positively skewed.The median is greater than the mean. This is explained by the fact that the distribution is positively skewed. The median is greater than the mean. This is explained by the fact that the…arrow_forward
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