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The resistors produced by a manufacturer are required to have a resistance of 0.150 ohms. The population standard deviation, s, is known to be 0.005.

The resistors produced by a manufacturer are required to have a resistance of 0.150 ohms. The population standard deviation, s, is known to be 0.005. A random sample of 10 resistors is drawn and the sample mean is found to be 0.152. We want to test the hypothesis that the average resistance is more than 0.150.

  1. Determine the critical region (rejection region) for a significance level of 0.01.
  2. Find the probability of Type II Error for this test when the true population means is 0.155. Also, find the power of the test when the true population means is 0.155.

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