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 1 Brand 2 Brand 3 Brand 4 25.6 25.2 20.8 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, α = 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.
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 1 Brand 2 Brand 3 Brand 4
25.6 25.2 20.8 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, α = 0.05. Interpret the results of the hypothesis testing.
b) Determine a 95%
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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