The U.S. Mint has a specification that pennies have a mean weight of 2.5 g. Assume that weights of pennies have a standard deviation of 0.0165 g and use the accompanying Minitab display to test the claim that the sample is from a population with a mean that is less than 2.5 g. These Minitab results were obtained using the 37 weights of post-1983 pennies listed in Data Set 20 in Appendix B.

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Test of mu = 2.5 vs < 2.5. Assumed s.d. = 0.0165 95% Upper Bound 2.50356 N Mean 37 2.49910 StDev 0.01648 Z -0.33 P 0.370