Use the results of Problem 18 from Section 14.1 to answer the following questions:

(a) Predict the mean weight of American black bears with a total length of 154.5 cm.

(b) Construct a 95% confidence interval for the mean weight of American black bears with a total length of 154.5 cm.

(c) Predict the weight of a randomly selected American black bear that is 154.5 cm long.

(d) Construct a 95% prediction interval for the weight of an American black bear that is 154.5 cm long.

(e) Explain why the predicted weights in parts (a) and (c) are the same, yet the intervals constructed in parts (b) and (d) are different.