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The standard deviation of a particular dimension on a machine part is known to be 0.0053...

The standard deviation of a particular dimension on a machine part is known to be 0.0053 inches. Four parts coming off the production line are measured, giving readings of 2.747, 2.740, 2.750 and 2.749 inches. The population mean is supposed to be 2.740 inches. The normal distribution applies. Is the sample mean significantly larger than 2.740 inches at the 1% level of significance
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