Refer to the World Development (Feb. 1998) study of street vendors' earnings, y, Exercises 10.7 and 10.20

(pp. 573,586).The STATISTIX printout below shows both a 95% prediction interval for y (left side) and a 95% confidence interval for E(y) (right side) for a 45-year-old vendor who works 10 hours a day (i.e., for x, = 45 and x, = 10).

a. Interpret the 95% prediction interval for y in the words of the problem

b. Interpret the 95% confidence interval for E(y) in the words of the problem.

c. Note that the interval of part a is wider than the interval of part

b. Will this always be true? Explain.