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Determine (gf)(x)( g \circ f ) ( x ) For the Pair of Functions F ( X ) =

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Determine (gf)(x)( g \circ f ) ( x ) for the pair of functions f ( x ) = 2 x + 9 and g ( x ) = x 2 + 9.

Calculate the Wilcoxon rank sum test statistic and its standardized value (z).
Understand the impact of tied observations on the distribution of the Wilcoxon rank sum.
Interpret and calculate the expected value and standard deviation of the Wilcoxon rank sum test statistic under the null hypothesis.
Formulate null and alternative hypotheses for the Wilcoxon test based on the difference in medians.

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