You wish to test the following claim at a significance level of a=0.05. For the context of this problem, µa=H2-Hi, where the first data set represents a group of 42 preschoolers' scores on a vocabulary pre-test and the second data set represents the same group's scores on a vocabulary post-test. You obtain pre- test and post-test samples for 42 subjects. The average difference (post - pre) is Xd = 3.1 with a standard deviation of the differences of sd = 13.5. Is there evidence that the preschoolers scores increased from pre to post test? Ho: Ha = 0 %3D Ha: Ha > 0 a) Find the test statistic. b) Find the p-value c) State the conclusion (in the context of the problem).

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