Question: Let X and Y denote the heights of blue spruce
Let X and Y denote the heights of blue spruce trees, measured in centimeters, growing in two large fields. We shall compare these heights by measuring 12 trees selected at random from each of the fields. Take α ≈ 0.05, and use the statistic W—the sum of the ranks of the observations of Y in the combined sample—to test the hypothesis H0: mX = mY against the alternative hypothesis H1: mX < mY on the basis of the following n1 = 12 observations of X and n2 = 12 observations of Y.
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