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You want to estimate the average hourly output of a machine to within 1.5, with 90% degree of confidence. Based on historical data, you have

You want to estimate the average hourly output of a machine to within 1.5, with 90% degree of confidence. Based on historical data, you have reason to believe that the standard deviation of the machine's hourly output is 5.2. How large a sample do you need?

a) State the critical value [1 mark]

b) State the sample size [1 mark]

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