A U.S. dime weighs 2.268 grams when minted. A random sample of 15 circulated dimes showed a

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A U.S. dime weighs 2.268 grams when minted. A random sample of 15 circulated dimes showed a mean weight of 2.256 grams with a standard deviation of .026 gram.
(a) Using α = .05, is the mean weight of all circulated dimes lower than the mint weight? State your hypotheses and decision rule.
(b) Why might circulated dimes weigh less than the mint specification?
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