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.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fa23753-a231-441e-871e-ad7c8c3fd382%2F3dcee826-310a-4059-8805-7dd804371cfc%2Fb4s70qn_processed.png&w=3840&q=75)
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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