1. Suppose that you are a student worker in the Statistics Department and they agree to pay you using the Random Pay system. Each week the Chair flips a coin. If it comes up heads, your pay for the week is $80, and if it comes up tails, your pay for the week is $40. You work for the department for two weeks. Let 
be the average of the pay you receive for the first and second week. The sampling distribution of is : $40 $60 $80
A. given by the following probability distribution.
Probability: 0.25 0.50 0.25
B. approximately normal with mean $60 and standard deviation 14.14.
C. exactly normal with mean $60 and standard deviation 14.14.
2. The scores of individual students on the American College Testing (ACT) Program composite college entrance examination have a Normal distribution with mean that varies slightly from year to year and standard deviation 6.0. You plan to take an SRS of size n of the students who took the ACT exam this year and compute the mean score of the students in your sample. You will use this to estimate the mean score of all students this year. In order for the standard deviation of to be no more than 0.1, how large should n be?
A. at least 60
B. at least 3600
C. This cannot be determined because we do not know the true mean of the population.