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When a machine is in adjustment, its mean time to perform its task is exactly 36 minutes. Past experience has found the standard deviation of

When a machine is in adjustment, its mean time to perform its task is exactly 36 minutes. Past experience has found the standard deviation of the cycle time to be 5.2 minutes. For a recent random sample of 80 jobs, the mean cycle time for the machine was 37.5 minutes. Does the machine appear to be in need of adjustment? Test at =0.05.

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