The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 8.2 ounces and a standard deviation of 0.15 ounces. (Round all answers to 4 decimal places, if needed.)

(a) The probability that a randomly chosen wedge of cheddar cheese is greater than 8.18 is.

(b) If a sample of 15 is randomly chosen, then the distribution of the sample mean weight isapproximately normalwith a mean of? and a standard deviation of?.

(c) The probability that the sample mean weight of this sample of 15 is less than 8.18 is?, greater than 8.18 is? and between 8.18 and 8.24 is?.

(d) There is only a 2% chance that the average weight of a sample of these 15 cheese wedges will be below?.