g (a) Find t0.025,14 (b) Find P(−1.356 < T < 2.179) when ν = 12 degrees of freedom. (c) Find P(−t0.005 < T < t0.01) when ν = 20 degrees of freedom. (d) Given a random sample of size 24 from a normal distribution, X is the sample mean and let T = X−µ S/√ n , find k such that P(k < T < 2.807) = 0.095. (e) What value of tα/2,19 would result in a 99% two-sided CI? (f) What value of tα,24 would result in a 99.9% one-sided CI?