If we refer to the weights (in grams) of quarters listed in Data Set 13 in Appendix B, we will find 50 weights with a mean of 5.622 g and a standard deviation of 0.068 g. Based on this random sample of quarters in circulation, construct a 98% confidence interval estimate of the population mean of all quarters in circulation. Is the claim that quarters are minted to yield a mean weight of 5.670 g consistent with the confidence interval? If not, what is a possible explanation for the discrepancy?