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We are testing the quality of electronic products based on their resistance values. The resistance values from two manufacturing settings, A and B, are normally

We are testing the quality of electronic products based on their resistance values. The resistance values from two manufacturing settings, A and B, are normally distributed with means A = 100 ohms and B = 95 ohms, respectively. Both settings have the same variance of 30 ohm2. A sample of 30 resistance values that passed the quality test is given. 2 94.2, 100.2, 84, 97.8, 105.2, 93.1, 89.5, 105.4, 104.8, 98.7, 102.2, 98.3, 109.3, 99.6, 92.9, 105.2, 99.5, 88.8, 108.7, 101.3, 85.9, 97.6, 82.7, 91.9, 95.2, 97.7, 96.2, 97.1, 92.2, 103.6 We aim to conduct the most powerful test with a significance level of = 0.05. Given the samples, can we conclude, at a significance level of = 0.05, that the manufacturing setting is A

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