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Assume that all assumptions to perform an ANOVA test are satisfied. a) Test the hypothesis that the four brands have the same percent of yield reduction at the significance level, a = 0.05. Interpret the results of the hypothesis testing. b) Determine a 95% interval estimate for the percent of mean yield reduction of Brand 3. c) Determine a 99% interval estimate for the difference in the percent of mean yield reduction between Brands 4 and 3.

Assume that all assumptions to perform an ANOVA test are satisfied. a) Test the hypothesis that the four brands have the same percent of yield reduction at the significance level, a = 0.05. Interpret the results of the hypothesis testing. b) Determine a 95% interval estimate for the percent of mean yield reduction of Brand 3. c) Determine a 99% interval estimate for the difference in the percent of mean yield reduction between Brands 4 and 3.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. An investigation was conducted to determine the source of reduction in yield of a certain chemical product. It was thought that four different brands of a material may result in different yield reductions. The investigator assigned each brand of material randomly to 3 of the 12 batches of production of the chemical product. The following are the results of the percent of yield reductions: Percent of yield reduction Brand 3 20.8 Brand 1 Brand 2 Brand 4 25.6 25.2 31.6 24.3 28.6 26.7 29.8 27.9 24.7 22.2 34.3 Assume that all assumptions to perform an ANOVA test are satisfied. a) Test the hypothesis that the four brands have the same percent of yield reduction at the significance level, a = 0.05. Interpret the results of the hypothesis testing. b) Determine a 95% interval estimate for the percent of mean yield reduction of Brand 3. c) Determine a 99% interval estimate for the difference in the percent of mean yield reduction between Brands 4 and 3.
Transcribed Image Text:2. An investigation was conducted to determine the source of reduction in yield of a certain chemical product. It was thought that four different brands of a material may result in different yield reductions. The investigator assigned each brand of material randomly to 3 of the 12 batches of production of the chemical product. The following are the results of the percent of yield reductions: Percent of yield reduction Brand 3 20.8 Brand 1 Brand 2 Brand 4 25.6 25.2 31.6 24.3 28.6 26.7 29.8 27.9 24.7 22.2 34.3 Assume that all assumptions to perform an ANOVA test are satisfied. a) Test the hypothesis that the four brands have the same percent of yield reduction at the significance level, a = 0.05. Interpret the results of the hypothesis testing. b) Determine a 95% interval estimate for the percent of mean yield reduction of Brand 3. c) Determine a 99% interval estimate for the difference in the percent of mean yield reduction between Brands 4 and 3.
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