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3, The manager of a machine shop wishes to estimate the mean time μ an operator needs to complete a simple task. The shop has 100 operators. A simple random sample of 10 operators is selected. The times (in minutes) to complete the task are as follows: 4.2 5.1 5.9 5.8 5.3 4.6 5.1 4.1 5.4 4.5 (a) (3 marks). Briefly describe how a table of random numbers could be used to draw a simple random sample of 10 operators from the shop of 100 operators. (b) (3 marks). Estimate the mean time in minutes) to complete the task for all 100 operators and place a bound on the error of estimation.

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