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 A B (b) Construct a 9995 two sided confidence interval for A B without assuming equal population variances (c) Consider a two sided hypothesis test of H0 A B, using the pooled variance method Does a size 0 01 test accept or reject the null hypothesis Write down an expression for the exact p value

Question: In an unpaired two-sample problem an experimenter observes n = 8, = 675.1, sx = 44.76 from population A and m = 17,

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.

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