Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, μ. The managers plan to choose a random sample of completion times and estimate μ via the sample. Assuming that the standard deviation of the population of completion times is 10.2 minutes, what is the minimum sample size needed for the managers to be 95% confident that their estimate is within 1.7 minutes of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number

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