Consider the following matched samples representing observations before and after an experiment. Assume that sample data are drawn from two normally distributed populations.

a. Construct the competing hypotheses to determine if the experiment increases the magnitude of the observations.

b. Implement the test at a 5% significance level.

c. Do the results change if we implement the test at a 1%
significance level? PG-69

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Before 2.5 After 2.9 1.8 3.1 3.9 1.8 0.2 0.6 -2.5 2.9 1.4 -2.9 1.2 -1.9 -3.1 2.5