The US Mint has a specification that pennies have a mean weight of 2.5g. From a sample of 37 pennies, the mean weight is found to be 2.49910g. and the standard deviation is found to be 0.01648g. Usew a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5g. Do the pennies appear to conform to the specifications of the US Mint?
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