Suppose there are two types of Penn State Sports fans: Rabid (R), and Casual (R’). These fans either view a

a. What is the probability of any fan watching the game at Home?

b. If a fan watches the game Live, what is the probability that they are Rabid?

( 2) Suppose a random sample of size 16 is taken, and the variance of the sample is calculated to be 5. a. What is (approximately) the probability that the population variance is less than 7? b. There is a 10% chance the population variance will be greater than ___. (3) True or False. You MUST write a brief explanation to justify your answer. No explanation=no credit. Partially correct explanation=partial credit. a. For the events A and B, if (A∩B)’ =S (where S, of course, is the sample space), then the events CANNOT be mutually exclusive.

b. In a confidence interval for the difference between n matched pairs of observations, the t-distribution to use is with 2n-2 degrees of freedom.

c. All else equal, in a hypothesis test, if we increase n, we increase α.

d. In a linear regression, all else equal, if SST increases, r² decreases