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Returns on an Investor's Stock Portfolio (N = 19 Stocks)  Wilcoxon Paired Data Test\text { Wilcoxon Paired Data Test}

Question 78

Multiple Choice

Returns on an investor's stock portfolio (n = 19 stocks) are compared for the same stock in each of two consecutive quarters. Since the returns are not normally distributed (normality test p-values were .005 and .126 respectively) , a nonparametric test was chosen. The test results are shown below.  Wilcoxon Paired Data Test\text { Wilcoxon Paired Data Test}

 n  sum of ranks 19247Qtr 1 19494Qtr 2 38741 total\begin{array}{|l|l|l|}\hline\text { n }&\text { sum of ranks }\\\hline 19 & 247& \text {Qtr 1 }\\\hline 19 & 494& \text {Qtr 2 }\\\hline 38 & 741& \text { total}\\\hline\end{array}


370.50370.50 expected value
34.2534.25 standard deviation
3.59z- 3.59 z
.0003p.0003 \mathrm { p } -value (two-tailed) Which is the best conclusion?


A) The means are the same at ? = .01.
B) The medians are the same at ? = .01.
C) The means differ at ? = .01.
D) The medians differ at ? = .01.

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