The Kansas Tax Commission recently conducted a study to
determine whether there is a difference in median deductions taken for
charitable contributions depending on whether a tax return is filed as a single
or a joint return. A random sample from each category was selected, with the
Based on these data, what should the tax commission
conclude? Use an a = 0.05 level.
A cattle feedlot operator has collected data for 40 matched
pairs of cattle showing weight gain on two different feed supplements. His
purpose in collecting the data is to determine whether there is a difference in
the median weight gain for the two supplements. He has no preconceived idea
about which supplement might produce higher weight gain. He wishes to test using
an a = 0.05 level. Assuming that the T-value for these data is 480, what should
be concluded concerning which supplement might produce higher weight gain? Use
the large-sample Wilcoxon matched-pairs signed rank test normal approximation.
Conduct the test using a p-value approach.