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

question 16

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. $$\begin{array} { l l l l l l } 140 & 116 & 125 & 120 & 153 & 140 \\111 & 127 & 133 & 137 & 132 & 160\end{array}$$

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Definitions:

Accumulated Benefit Obligation

An estimate of the total amount of an employer's obligation for pension benefits earned by employees to date, not based on future salary increases.

Plan Assets

Assets specifically identified to fund the obligations of a pension or other employee benefit plan.

Pension Funding

The financial contributions made by a company to a defined benefit pension plan to meet future pension obligations to retirees.

U.S. Income Tax Code

The body of laws and regulations that govern how individuals, businesses, and other entities are taxed by the federal government of the United States.