# Question

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 − mY < 0 on the following random samples of n1 = 12 observations of X and n2 = 12 observations of Y:

What is the p-value?

(b) Construct and interpret a q–q plot of these data.

(a) Use the Wilcoxon test to test H0: mX = mY against H0: mX − mY < 0 on the following random samples of n1 = 12 observations of X and n2 = 12 observations of Y:

What is the p-value?

(b) Construct and interpret a q–q plot of these data.

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