In an unpaired two-sample problem an experimenter observes n = 13. = 0.0548, sx = 0.00128

Question:

In an unpaired two-sample problem an experimenter observes n = 13. = 0.0548, sx = 0.00128 from population A and m = 15, = 0.0569, sy = 0.00096 from population B.
(a) Construct a 95% one-sided confidence interval μA - μB ∈ (-∞, c) using the pooled variance method.
(b) Consider a one-sided hypothesis test of H0: μA > μB versus HA: μA < μB using the pooled variance method. Does a size α = 0.05 test accept or reject the null hypothesis? What about a size α = 0.01 test? Write down an expression for the exact p-value.