1. The sample mean and sample variance of five data values are, respectively, x¯ = 104 and s2 = 16. If three of the data values are 102, 100, 105, what are the other two data values?
2. Suppose you are given the average pay of all working people in each of the 50 states of the United States.
(a) Do you think that the sample mean of the averages for the 50 states will equal the value given for the entire United States?
(b) If the answer to part (a) is no, explain what other information aside from just the 50 averages would be needed to determine the sample mean salary for the entire country. Also, explain how you would use the additional information to compute this quantity.