In an unpaired two-sample problem an experimenter observes n = 14, x = 32.45, sx = 4.30 from population A and n = 14,  = 32.45, sx = 4.30 from population B. A and m = 14, = 41.45, sy = 5.23 from population B.
(a) Use the pooled variance method to construct a 99% two-sided confidence interval for μA - μB.
(b) Construct a 99% two-sided confidence interval for μA - μB without assuming equal population variances.
(c) Consider a two-sided hypothesis test of H0: μA = μB without assuming equal population variances. Does a size α = 0.01 test accept or reject the null hypothesis? Write down an expression for the exact p-value.
(This problem is continued in Problem 9.3.14.)