Qus 7: Assume that cans of cola are filled such that the actual amounts have a population mean of =12.00 ounces. A random sample of 49 cans has a mean amount of 12.15 ounces. The distribution of sample means of size n=49 is normal with an assumed mean of 12.00 ounces, and those sample means have a standard deviation of 0.02 ounces. Complete parts (a) through (c) below.

a. How many standard deviations is the sample mean away from the mean of the distribution of samplemeans? (Round to two decimal places as needed.)

b. In general, what is the probability that a random sample of 49 size has a mean of at least 12.15 ounces? (Round to two decimal places as needed.)

c. Does it appear that consumers are being cheated? Why or why not?