If a machine is properly calibrated it produces an average of 10 parts per minute with a standard deviation of 2 parts per minute (you can assume that this is the population standard deviation). A random sample of 45 one-minute intervals had a sample mean of 10.8 parts per minutes. What is the probability that you get a sample mean that is that far away (or even more) from what you expect it to be if the machine is properly calibrated? Do you believe that the machine is properly calibrated?

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