Assume that cans of cola are filled such that the actual amounts have a population mean of =16.00 ounces. A random sample of 49 cans has a mean amount of 16.37 ounces. The distribution of sample means of size n=49 is normal with an assumed mean of 16.00 ounces, and those sample means have a standard deviation of 0.05 ounce. Complete parts(a) through(c) below.

a.How many standard deviations is the sample mean away from the mean of the distribution of samplemeans?

b.Ingeneral, what is the probability that a random sample of size 49 has a mean of at least 16.37 ounces?

c.Does it appear that consumers are beingcheated? Why or whynot?