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 A 25 and B 20 for the population standard deviations (a) What is the exact p value for the hypothesis testing problem H0 A B 3 0 versus HA A B 3 0 (b) Construct a 90 two sided confidence interval for A B

Question: In an unpaired two-sample problem, an experimenter observes n = 47, = 100.85 from population A and m = 62, = 89.32 from

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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