College Attendance: About 65% of all U.S. public high school graduates in 2011 went on to attend college that fall. At Heavenly High, there were 200 graduates and 151 of them went on to attend college in the fall (about 76% of them).

(a) Assume the 65% value is accurate for the national rate. In all random samples of 200 high school students, what is the mean and standard deviation for the number of those who will go on to college? Round both answers to 1 decimal place. Mean = ______________

Standard deviation = _____________________

(b) Convert the 151 out of 200 students going to college from Heavenly High to a z-score. Round your answer to 2 decimal places. z = (c) Using the normal approximation to the binomial distribution, what is the probability of getting 151 or more students going to college in a randomly selected group of 200 high school students? Round your answer to 4 decimal places. P(x 151) = (d) Which statement best describes the situation at Heavenly High? - Having 151 out of 200 students go on to college is not particularly unusual.

- Since the probability of getting at 151 or more out of 200 students going to college is so small, this suggests something unusual is going on at Heavenly High.

- There is no chance that the high number of college-bound seniors is due to random variation.