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An adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new

An adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new online learning module increased placement scores at a significance level of = 0.05. For the context of this problem, D=new-old where the first data set represents the new test scores and the second data set represents old test scores. Assume the population is normally distributed.

H0: D = 0

H1: D < 0

You obtain the following paired sample of 19 students that took the placement test before and after the learning module:

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