In an unpaired two-sample problem an experimenter observes n = 8,  = 675.1, sx = 44.76 from population A and m = 17,  = 702.4, sy = 38.94 from population B.
(a) Use the pooled variance method to construct a 99% two-sided confidence interval for μA - μB.
(b) Construct a 9995 two-sided confidence interval for μA - μB without assuming equal population variances.
(c) Consider a two-sided hypothesis test of H0: μA = μB, using the pooled variance method. Does a size α = 0.01 test accept or reject the null hypothesis? Write down an expression for the exact p-value.