The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviati?

The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions. (a) What is the likelihood the sample mean is... show more The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions.

(a) What is the likelihood the sample mean is at least $25.00?
(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
(c) Within what limits will 90 percent of the sample means occur?
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