A pharmaceutical company is interested in testing the
Chapter 8, Problem 8E(choose chapter or problem)
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 \(30^{\circ} \mathrm{C}\).
(a) Use the Wilcoxon test to test \(H_{0}: m_{X}=m_{Y}\) against \(H_{0}: m_{X}-m_{Y}<0\) on the following random samples of \(n_{1}=12\) observations of \(X\) and \(n_{2}=12\) observations of \(Y\):
What is the \(p\)-value?
(b) Construct and interpret a \(q-q\) plot of these data. Hint: This is a \(q-q\) plot of the empirical distribution of \(X\) against that of \(Y\).
Equation Transcription:
Text Transcription:
X
Y
100%
30^circ C
H_0: m_x=m_y
H_0: m_X −m_Y < 0
n_1= 12
n_2= 12
p
q-q
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