Review Exercises (p. 543) in Freedman, et al.:

Ch. 28: 3

Review Exercises (p. 565) in Freedman, et al.:

Ch. 29: 1

Special Review Exercises (after Chp. 29) (pp. 567-577) in Freedman, et al.:

11, 14, 17, 34, 37

Additional problems:

1. A vice-president in charge of sales for a large corporation claims that salespeople are averaging more than fifteen sales contacts per week. (He would like to increase this figure.) As a check on his claim, 36 salespeople are selected at random, and the number of contacts is recorded for a single randomly selected week. The sample reveals a mean of seventeen contacts and a SD of 3.

   a. Is there enough evidence for us to believe the vice-president's claim? Use alpha = 0.05.

   b. If the average number of contacts is really sixteen, what is beta (the probability of type-II error)?

2. Suppose that 1% of all students seeking treatment at a school infirmary are eventually diagnosed as having mononucleosis. Of those who do have mono, 90% complain of a sore throat. But 30% of those not having mono also have sore throats. If a student comes to the infirmary and says that he has a sore throat, what is the probability he has mono?
3. In his novel Bomber, Len Dieghton argues that a World War II pilot has a 0.02 chance of being shot down on each mission. So in 50 missions, he is ``mathematically certain'' to be shot down since

   50 x 0.02 = 1.

   a. Assuming the outcome of each mission is independent, is Deighton's reasoning correct?

   b. What is the probability of surviving all 50 missions without being shot down?