* -------------------------------------
* Exercise 2.10 in Stock and Watson, 2e
* -------------------------------------

scalar z1 = normal((3-1)/sqrt(4))
scalar z2 = 1-normal((0-3)/sqrt(9))
scalar z3 = normal((52-50)/sqrt(25)) - normal((40-50)/sqrt(25))
scalar z4 = normal((8-5)/sqrt(2)) - normal((6-5)/sqrt(2))
scalar list z1 z2 z3 z4

* -------------------------------------
* Exercise 2.11 in Stock and Watson, 2e
* There is an error in the exercise! The
* copy editor dropped a digit in c. So,
* the chi2 and f stats in b and c are the same.
* -------------------------------------

scalar x1 = 1 - chi2tail(4,7.78)
scalar x2 = chi2tail(10,18.31)
scalar f1 = Ftail(10,1e10,1.831)
scalar x3 = chi2(1,1)
scalar x4 = 1-chi2tail(1,1)
scalar z = normal(1)-normal(-1)
scalar list x1 x2 f1 x3 x4 z

* -------------------------------------
* Exercise 2.12 in Stock and Watson, 2e
* -------------------------------------

scalar t1 = ttail(15,1.75)
scalar t2 = 1-2*ttail(90,1.99)
scalar z2 = normal(1.99)-normal(-1.99)
scalar f1 = Ftail(7,4,4.12)
scalar f2 = Ftail(7,120,2.79)

scalar list t1 t2 z2 f1 f2