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A machine fills milk bottles, the mean amount of milk in each bottle is supposed to be 32 Oz with a standard deviation of 0.06

A machine fills milk bottles, the mean amount of milk in each bottle is supposed to be 32 Oz with a standard deviation of 0.06 Oz. Suppose the mean amount of milk is approximately normally distributed. To check if the machine is operating properly, 36 filled bottles will be chosen at random and the mean amount will be determined.

Suppose the true mean is 32 Oz and they hypothesize that the mean amount of milk in each bottle is less than 32 Oz. Determine what would be considered a type I error.

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