FILEThe follow ing data are derived from a matched-pairs sample. The data are also available on the

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FILEThe follow ing data are derived from a matched-pairs sample. The data are also available on the text website, labeled Exercise 20.11.

Observation Sample 1 Sample 2 1 120 125 2 156 160 3 143 140 4 100 90 5 115 132 6 140 124 7 111 112 8 142 144 9 175 200 10 190 182

a. Specify the competing hypotheses that determine whether the population median difference differs from zero.

b. Assuming that T is norm ally 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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