The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 12.8 ounces and a standard deviation of 0.22 ounces. (Round all answers to 4 decimal places, if needed.)

(a) The probability that a randomly chosen wedge of cheddar cheese is greater than 10.85 is________.

(b) If a sample of 20 is randomly chosen, then the distribution of the sample mean weight is(CHOOSE ONE: approximately normal, not normal, left-skewed, or right-skewed) with a mean of_________and a standard deviation of__________. Why is the distribution the option you chose?

(c) The probability that the sample mean weight of this sample of 20 is less than 10.85 is________.

(d) The probability that the sample mean weight of this sample of 20 is greater than 10.85 is________.

(e) The probability that the sample mean weight of this sample of 20 is between 10.85 and 10.98 is________.

(f) There is only a 5% chance that the average weight of a sample of these 20 cheese wedges will be below________.