The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen.

a) True or False: The random variable is defined as the average percent of fat calories consumed each day by a person in America.

b) For a sample of size 16, state the mean of the sample mean

c) For a sample of size 16, state the standard deviation of the sample mean (the "standard error of the mean")

d) suppose a sample of size 16 is taken. Find the probability that the average percent of fat calories consumed is more than 30.

For B through D enter answer in decimal form rounded to the nearest thousandth