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4 (Total: 20 marks) (a) The production machines of a company produce metal discs of 200g. It is noted that the weight of the discs

4 (Total: 20 marks) (a) The production machines of a company produce metal discs of 200g. It is noted that the weight of the discs follows a normal distribution. To test the consistency of the machines, 20 discs are randomly selected and the mean weight is 205g while the standard deviation is 7g. What is the 99% confidence interval for the average weight of the selected discs? (7 marks)

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