A pharmaceutical company is interested in testing the effect of humidity on the weight of pills that are sold in aluminum packaging. Let X and Y denote the respective weights of pills and their packaging (in grams), when the packaging is good and when it is defective, after the pill has spent 1 week in a chamber containing 100% humidity and heated to 300C.
(a) Use the Wilcoxon test to test H0: mX = mY against H0: mX ˆ’ mY

What is the p-value?
(b) Construct and interpret a q€“q plot of these data.

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x: 0.7565 0.7720 0.7776 0.7750 0.7494 0.7615 0.7741 0.7701 0.7712 0.7719 0.7546 0.7719 y: 0.7870 0.7750 0.7720 0.7876 0.7795 0.7972 0.7815 0.7811 0.7731 0.7613 0.7816 0.7851