It is claimed that the median weight m of certain loads of
Chapter 8, Problem 1E(choose chapter or problem)
It is claimed that the median weight \(m\) of certain loads of candy is 40,000 pounds.
(a) Use the following 13 observations and the Wilcoxon statistic to test the null hypothesis \(H_{0}: m=40,000\) against the one-sided alternative hypothesis \(H_{1}: m<\) 40,000 at an approximate significance level of \(\alpha= 0.05\):
41,195 39,485 41,229 36,840 38,050 40,890 38,345
34,930 39,245 31,031 40,780 38,050 30,906
(b) What is the approximate \(p\)-value of this test?
(c) Use the sign test to test the same hypothesis.
(d) Calculate the p-value from the sign test and compare it with the \(p\)-value obtained from theWilcoxon test.
Equation Transcription:
Text Transcription:
m
H_0: m = 40, 000
H_1: m <40,000
Alpha =0.05
p
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