The Wilcoxon Signed-Ranks Test Can Be Used to Test the Claim

Essay

The Wilcoxon signed-ranks test can be used to test the claim that a sample comes from a population with a
specified median. The procedure used is the same as the one described in this section except that the differences
are obtained by subtracting the value of the hypothesized median from each value.
The sample data below represent the weights (in pounds) of 12 women aged 20-30. Use a Wilcoxon
signed-ranks test to test the claim that the median weight of women aged 20-30 is equal to 130 pounds. Use a
significance level of 0.05. Be sure to state the hypotheses, the value of the test statistic, the critical values, and
your conclusion. $$\begin{array} { l l l l l l } 140 & 116 & 125 & 120 & 153 & 140 \\111 & 127 & 133 & 137 & 132 & 160\end{array}$$