6. You and a friend decide to pool your money and buy a vending machine to install at a fraternity house to raise money for tuition. Your machine only takes quarters. You discover that a number of slugs are used to buy products in the first week and realize that you need to adjust the weight of the quarters that the machine will take as legal. You take a sample of 25 good quarters and find a mean of 5.2g with a standard deviation of 1 g. Construct a 95% confidence interval for the upper and lower weight to set the machine to. If the US mint says that the mean weight of a quarter is 5.5 g would this match with your interval?

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