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Carol's Cafe has an automated espresso filling station. On the regular setting the amount of espresso that is dispensed should be 6 oz. of espresso.

Carol's Cafe has an automated espresso filling station. On the regular setting the amount of espresso that is dispensed should be 6 oz. of espresso. Carol is concerned that the automated machine is filling the espresso cups with different amounts of espresso, other than the 6 oz. She decides to take a random sample of 56 espresso pours from the automated machine and find the average pour weight was 6.251 ounces, with a standard deviation of .82 ounces. Test the claim that the automated machine is pouring the espresso at a different amount than 6 oz. Test the claim at a 5% significance level. (Remember your units) (Round all statistics and answer to four decimal places) (7points)

b)Why would or should the Carol's Cafe care?[1 point]

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