Problem 7.33 Two random samples of sizes n1 = 11 and n2 = 13, respectively, were taken from two normal distributions N(1, 2) and N(2,

Problem 7.33 Two random samples of sizes n1 = 11 and n2 = 13, respectively, were taken from two normal distributions N(µ1, σ2) and N(µ2, σ2), and the following data were obtained: X1 = 1.5, s1 = 0.5, X2 = 2.1, s2 = 0.6. Find the values of:

(a) s2 p.

(b) s(X1 − X2).

(c) a two sided 95% confidence interval for µ1 − µ2.