The mean amount purchased by each customer at Churchill's Grocery Store is $34 with a standard deviation of $9. The population is positively skewed. For a sample of 42 customers, answer the following questions:

a. What is the likelihood the sample mean is at least $37? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)

Sample mean

b. What is the likelihood the sample mean is greater than $32 but less than $37? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)

Sample mean

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

Sample mean and