Americans ate an average of 25.7 pounds of confectionary products each last year and spent an average of $61.50 per person doing so. If the standard deviation for consumption is 3.75 pounds and the standard deviation for the amount spent is $5.89, find the following:
a. The probability that the sample mean confectionary consumption for a random sample of 40 American consumers was greater than 27 pounds
b. The probability that for a random sample of 50, the sample mean for confectionary spending exceeded $60.00