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Peter is the owner of a hardware supply shop. He has hired you to check his machine's calibration prior to starting production on a large
Peter is the owner of a hardware supply shop. He has hired you to check his machine's calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.
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