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Based on a large sample of capacitors of a certain type, a 95% confidence interval for the Two catalysts are being analysed to determine

 

Based on a large sample of capacitors of a certain type, a 95% confidence interval for the Two catalysts are being analysed to determine how they affect the mean yield of a chemical process. Specifically, catalyst 1 is currently used; but catalyst 2 is acceptable. Since catalyst 2 is cheaper, it should be adopted if it does not change the process yield. A test is run in the pilot plant and the results are shown as follows: Catalyst Yield Data Observation 1 2 3. 4 7 8. Number Catalyst 1 91.5 94.18 92.18 95.39 91.79 89.07 94.72 89.21 Catalyst 2 89.19 90.95 90.46 93.21 97.19 97.04 91.07 92.75 Is there any difference in the mean yields at 5% significance level assuming equal variances?

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