The mean amount purchased by each customer at Churchill's Grocery store is $29 wth a standard deviation of $8. The Population is positively skewed. For a sample of 58 customers, answer the following question:

a. What is the likelihood the sample mean is at least $31?

Sample mean

b. What is the likelihood the sample mean is greater than $26 but less than $31?

Sample mean

c. Within what limits will 98% of the sample means occurs?

Sample mean ---------------- and -----------------