(2) Consider the following estimated regression model:

^

Y = 901.25+1.69 X

S(b) = 513.02 0.153

2

R= 0.54r = 0.74n = 14

(a)Briefly interpret the results of the estimated parameters and the coefficient of determination.

(b)Conduct tests of statistical significance at the 1% level for (i) the slope coefficient and (ii) the correlation coefficient.

(4)

a) It has been observed that 4 out of 10 Web surfers who view an internet banner advertisement remember them. Suppose a random sample of 5 Web surfers is selected and asked if they remember a specific Internet banner that they previously accessed. What is the probability that 3 or more of the Web surfers will remember the banner advertisement?

(b)Kelly's Trucking Company determined that, on an annual basis, the distance travelled per truck is normally distributed with a mean of 50, 000 miles and a standard deviation of 12,000 miles. (i) If a truck is chosen at random from the Company's fleet, find the probability that the distance travelled is less than 45,000 miles in the year. (ii) If a sample of 16 trucks is selected, what is the probability that the AVERAGE distance travelled is less than 45,000 miles in the year?