In an unpaired two-sample problem an experimenter observes

Chapter 9, Problem 9.3.2

(choose chapter or problem)

In an unpaired two-sample problem an experimenter observes n =14, x =32.45, sx =4.30 from population A and m =14, y =41.45, sy =5.23 from population B. (a) Use the pooled variance method to construct a 99% two-sided condence interval for A B. (b) Construct a 99% two-sided condence interval for AB withoutassumingequalpopulationvariances. (c) Consider a two-sided hypothesis test of H0 : A = B without assuming equal population variances. Does a size =0.01 test accept or reject the null hypothesis? Write down an expression for the exact p-value. (This problem is continued in 9.3.14.)

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