5. A large batch of capacitors is judged to be satisfactory by an electronics factory if the mean capacitance is at least 5 microfarads. A random sample of 6 capacitors was selected from the batch. Their capacitances were measured in microfarads with the following results:
5.12, 4.81, 4.79, 4.85, 5.04, 4.61
Assume that the capacitances of the batch have a normal distribution.
a. Decide at 5% significance level, whether the batch is satisfactory i.e. test
versus if
b. Will your decision remain the same if level of significance is 10% instead of 5%? Explain your answer in detail.
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