The mean amount purchased by a typical customer at Churchill's Grocery Store is $29.50 with a standard deviation of $6.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 76 customers, answer the following questions.

A) What is the likelihood the sample mean is at least $31.50? (Round your z-value to 2 decimal places and final answer to 4 decimal places.) B) What is the likelihood the sample mean is greater than $28.50 but less than $31.50? (Round your z-value to 2 decimal places and final answer to 4 decimal places.)

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