The examples in this section involved the claim that post-1983 pennies have weights with a standard deviation
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The examples in this section involved the claim that post-1983 pennies have weights with a standard deviation less than 0.0230 g. Data Set 20 in Appendix B includes the weights of a simple random sample of pre-1983 pennies, and that sample has a standard deviation of 0.03910 g. Use a 0.05 significance level to test the claim that pre-1983 pennies have weights with a standard deviation greater than 0.0230 g. Based on these results and those found in Example 1, does it appear that weights of pre-1983 pennies vary more than those of post-1983 pennies?
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Data Set 20: Coin Weights (grams) The "pre-1983 pennies" were made after the Indian and wheat pennies, and they are 97% copper and 3% zinc. The "post-1983 pennies" are 3% copper and 97% zinc. The "pre-1964 silver quarters" are 90% silver and 10% copper. The "post-1964 quarters" are made with a copper-nickel alloy. 3.0630 3.0487 STATDISK: Minitab: Excel: TI-83/84 Plus: Text file names: 2.9149 3.1358 2.9753 Indian Wheat Pre-1983 Pennies Pennies Pennies 3.1366 3.0755 3.1692 3.0476 3.1029 3.0377 3.1083 3.1141 3.0976 3.0862 3.0570 3.0765 3.1114 3.0965 3.0816 3.0054 3.1934 3.1461 3.0185 3.1267 3.1524 3.0786 3.0131 3.1535 3.0480 3.0050 3.0290 Data set name is Coins. Worksheet name is COINS.MTW. Workbook name is COINS.XLS. 3.1038 3.0357 3.0064 3.0936 3.1031 3.0408 3.0561 3.0994 App name is COINS, and the file names are the same as for text files. Text file names are CPIND, CPWHT, CPPRE, CPPST, CPCAN, CQPRE, CQPST, CDOL. 3.1582 3.0406 3.0762 3.0398 3.1043 3.1274 3.0775 3.1038 3.1086 3.0586 3.0603 3.0502 3.1028 3.0522 3.0546 3.0185 3.0712 3.0717 3.0546 3.0817 3.0704 3.0797 3.0713 3.0631 3.0866 3.0763 3.1299 3.0846 3.0917 3.0877 2.9593 3.0966 2.9800 3.0934 3.1340 Post-1983 Canadian Pre-1964 Pennies Pennies Quarters 2.5113 2.4907 2.5024 2.5298 2.4950 2.5127 2.4998 2.4848 2.4823 2.5163 2.5222 2.5004 2.5248 2.5058 2.4900 2.5068 2.5016 2.4797 2.5067 2.5139 2.4762 2.5004 2.5170 2.4925 2.4876 2.4933 2.4806 2.4907 2.5017 2.4950 2.4973 2.5252 2.4978 2.5073 2.4658 2.4529 2.5085 3.2214 3.2326 2.4662 2.8357 3.3189 3.2612 3.2441 2.4679 2.7202 2.5120 6.2771 6.2371 6.1501 6.0002 6.1275 6.2151 6.2866 6.0760 6.1426 6.3415 6.1309 6.2412 6.1442 6.1073 6.1181 6.1352 6.2821 6.26 47 6.2908 6.1661 6.2674 6.2718 6.1949 6.2465 6.3172 6.1487 6.0829 6.1423 6.1970 6.2441 6.3669 6.0775 6.1095 6.1787 6.2130 6.1947 6.1940 6.0257 6.1719 6.3278 Post-1964 Quarters 5.7027 5.7495 5.7050 5.5941 5.7247 5.6114 5.6160 5.5999 5.7790 5.6841 5.6234 5.5928 5.6486 5.6661 5.5361 5.5491 5.7239 5.6555 5.6063 5.5709 5.5591 5.5864 5.6872 5.6274 5.6157 5.6668 5.7198 5.6694 5.5454 5.6646 5.5636 5.6485 5.6703 5.6848 5.5609 5.7344 5.6449 5.5804 5.6010 5.6022 Dollar Coins 8.1008 8.1072 8.0271 8.0813 8.0241 8.0510 7.9817 8.0954 8.0658 8.1238 8.1281 8.0307 8.0719 8.0345 8.0775 8.1384 8.1041 8.0894 8.0538 8.0342
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