wo catalysts may be used in a batch chemical 34 and a sample standard deviation of 3. Fifte with a standard deviation of 2. Assume that yi deviation.
wo catalysts may be used in a batch chemical 34 and a sample standard deviation of 3. Fifte with a standard deviation of 2. Assume that yi deviation.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![**Chemical Process Analysis**
In a batch chemical process, two catalysts are considered:
- **Catalyst 1**: Twelve batches were prepared, resulting in an average yield of 84 with a sample standard deviation of 3.
- **Catalyst 2**: Fifteen batches were prepared, resulting in an average yield of 89 with a standard deviation of 2.
Assumption: Yield measurements are approximately normally distributed with the same standard deviation.
**Tasks:**
(a) **Hypothesis Testing**: Determine if catalyst 2 produces a higher mean yield than catalyst 1. Use a significance level of \( \alpha = 0.01 \).
(b) **Confidence Interval**: Find a 99% confidence interval for the difference in mean yields to test the claim in part (a). Round your answer to two decimal places.
*Interactive Component*: An entry box labeled \( \mu_1 - \mu_2 \leq \) is provided for input.
Additional resources: [Statistical Tables and Charts]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbba0909-7b4f-4e80-8e24-06dfda2d061e%2F365efda1-7b14-4f9a-b66a-34c0b6965ada%2Ftkixmna_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Chemical Process Analysis**
In a batch chemical process, two catalysts are considered:
- **Catalyst 1**: Twelve batches were prepared, resulting in an average yield of 84 with a sample standard deviation of 3.
- **Catalyst 2**: Fifteen batches were prepared, resulting in an average yield of 89 with a standard deviation of 2.
Assumption: Yield measurements are approximately normally distributed with the same standard deviation.
**Tasks:**
(a) **Hypothesis Testing**: Determine if catalyst 2 produces a higher mean yield than catalyst 1. Use a significance level of \( \alpha = 0.01 \).
(b) **Confidence Interval**: Find a 99% confidence interval for the difference in mean yields to test the claim in part (a). Round your answer to two decimal places.
*Interactive Component*: An entry box labeled \( \mu_1 - \mu_2 \leq \) is provided for input.
Additional resources: [Statistical Tables and Charts]
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