Refer to Figure 4.16, which shows a randomization distribution for hypotheses H₀ : μ₁ = μ₂ vs H_a : μ₁ ‰  μ₂. The statistic used for each sample is D = xÌ…₁ ˆ’ xÌ…₂. Answer parts (a) and (b) using the two possible sample results given in each exercise.

xÌ…₁ =17.3, xÌ…₂ =18.7 or xÌ…₁ = 19.0, xÌ…₂ = 15.4

Figure 4.16

(a) For each D-value, sketch a smooth curve to roughly approximate the distribution in Figure 4.16, mark the D-value on the horizontal axis, and shade in the proportion of area corresponding to the p-value.
(b) Which sample provides the strongest evidence against H₀? Why?

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90 80 70 60 50 40 30 20 10 무 -3 -2 -1 2 3 Differences Frequency