In an unpaired two sample problem, an experimenter observes n 38, 5 782 from population A and m 40, 6 443 from population B Suppose that the experimenter wishes to use values A B 2 0 for the population standard deviations (a) What is the exact p value for the hypothesis testing problem H0 A B versus HA A B (b) Construct a 99 one sided confidence interval that provides an upper bound for A B

Question: In an unpaired two-sample problem, an experimenter observes n = 38, = 5.782 from population A and m = 40, = 6.443 from population

In an unpaired two-sample problem, an experimenter observes n = 38, = 5.782 from population A and m = 40, = 6.443 from population B. Suppose that the experimenter wishes to use values σA = σB = 2.0 for the population standard deviations.
(a) What is the exact p-value for the hypothesis testing problem H0: μA > μB versus HA: μA < μB:
(b) Construct a 99% one-sided confidence interval that provides an upper bound for μA - μB.

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