talysts may be emical process. Twelve batches were prepared using catalyst 1, resulting a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an av standard deviation of 2. Assume that yield measurements are approximately normally distributed with the s on. ere evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use α = 0.01 la 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Rou cimal places (e.g. 98.76). 2 ≤ i

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Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of
84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 89
with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard
deviation.
(a) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use α = 0.01.
(b) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Round your answer to
two decimal places (e.g. 98.76).
i
H1 H₂ ≤
-
Statistical Tables and Charts
Transcribed Image Text:Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 89 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation. (a) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use α = 0.01. (b) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Round your answer to two decimal places (e.g. 98.76). i H1 H₂ ≤ - Statistical Tables and Charts
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