b. Using the fact that T has a t-distribution with (n - k)

degrees of freedom, define a random interval (21, 22)

that satisfies P(l'{3 E (ZI,Z2)) = .95whenn-k = 25.

(Hint: Define y~ur ZI and Z2 variables as appropriate functions of ({3, S2), which will be suggested by a transformation of PIt E (te, th)) = .95), for outcomes t of T.