Let X and Y equal the sizes of grocery orders from, respectively, a south-side and a
Chapter 8, Problem 8.4-11(choose chapter or problem)
Let X and Y equal the sizes of grocery orders from, respectively, a south-side and a north-side food store of the same chain. We shall test the null hypothesis \(H_0: m_X = m_Y\) against a two-sided alternative, using the following ordered observations:
x : 5.13 8.22 11.81 13.77 15.36
23.71 31.39 34.65 40.17 75.58
y : 4.42 6.47 7.12 10.50 12.12
12.57 21.29 33.14 62.84 72.05
(a) Use the Wilcoxon test when \(\alpha = 0.05\). What is the p-value of this two-sided test?
(b) Construct a q–q plot and interpret it. Hint: This is a q–q plot of the empirical distribution of X against that of Y.
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