Thompson and Thompson is a steel bolt manufacturing company. Their current steel bolts have a mean diameter of 149 millimeters, and a standard deviation of 5 millimeters. If a random sample of 49 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.5 millimeters? Please round your answer to four decimal places.

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Thompson and Thompson is a steel bolt manufacturing company. Their current steel bolts have a mean diameter of 149 millimeters, and a standard deviation of 5 millimeters.

If a random sample of 49 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.5 millimeters?

Please round your answer to four decimal places.

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