(a) Predict the mean wind speed of all hurricanes whose atmospheric pressure is 950 mb.

(b) Construct a 95% confidence interval for the mean wind speed found in part (a).

(c) Predict the wind speed of a randomly selected hurricane whose atmospheric pressure is 950 mb.

(d) Construct a 95% prediction interval for the wind speed found in part (c).

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