Question:The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $6.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 52 customers, answer the following questions.

a.What is the likelihood the sample mean is at least $25.50?(Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability

b.What is the likelihood the sample mean is greater than $22.50 but less than $25.50?(Round z value to 2 decimal placesand final answer to 4 decimal places.)

Probability

c.Within what limits will 95 percent of the sample means occur?(Round your answers to 2 decimal places.)