Question: A vending machine automatically dispenses soft drinks into cups. The distribution of the amount of soft drink put into the cups is normally distributed with

A vending machine automatically dispenses soft drinks into cups. The distribution of the amount of soft drink put into the cups is normally distributed with a mean of 7.5 oz with a standard deviation of 0.3 oz. Suppose 4 cups are selected at random. What is the mean and standard deviation of the average amount dispensed in the 4 cups?

A.

The mean is 7.5 oz and the standard deviation is .3 oz.

B.

The mean is 3.75 oz and the standard deviation is .15 oz.

C.

The mean is 30 oz and the standard deviation is .1.2 oz.

D.

The mean is 7.5 oz and the standard deviation is .075 oz.

E.

The mean is 7.5 oz and the standard deviation is .15 oz.

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