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A soft drink machine is regulated so that the amount of soft drink dispensed is approximately distributed with a standard deviation equal to 15 milliliters.

A soft drink machine is regulated so that the amount of soft drink dispensed is approximately distributed with a standard deviation equal to 15 milliliters. If random samples of 49 drinks have an average content of 220 milliliters, find a 95% confidence interval for the mean of all drinks dispensed by this machine. Test the hypothesis so that the value of is at least 218 ml

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