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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