The following data are derived from a matched-pairs sample.

a. Specify the competing hypotheses that determine whether the population median difference differs from zero.
b. Assuming that T is normally distributed, determine the value of the test statistic.
c. Calculate the p-value.
d. At the 1% significance level, what is the conclusion?

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Sample 1 120 156 1433 100 115 140 Sample 2 125 160 140 90 132 124 112 144 200 182 Observation 142 175 190 10