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.

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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]
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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