In an unpaired two-sample problem, an experimenter observes n = 47, = 100.85 from population A

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In an unpaired two-sample problem, an experimenter observes n = 47,  = 100.85 from population A and m = 62,  = 89.32 from population B. Suppose that the experimenter wishes to use values σA = 25 and σB = 20 for the population standard deviations.
(a) What is the exact p-value for the hypothesis testing problem H0: μA = μB + 3.0 versus HA: μA + μB + 3.0?
(b) Construct a 90% two-sided confidence interval for μA - μB
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