Suppose that the population of people who have had an experimental surgery consists of 5 people who were 38, 36, 41, 34, and 40 years old, respectively, at the time they received the operation. (a)...

Suppose that the population of people who have had an experimental surgery

consists of 5 people who were 38, 36, 41, 34, and 40 years old, respectively, at the

time they received the operation.

(a) List the possible samples of ages that would result if you randomly selected

(without replacement) two of these people at a time.

(b) Write the sample variance ( s 2 ) that would result from each possible sample.

(c) Write the pdf of

s2

that results when samples of size 2 are taken.

(d) Compute the mean and variance of

s2

that results when samples of size 2 are

taken.