Question

Question with last attempt is displayed for your review only You wish to test the following claim (Ha) at a significance level of? 0.002. For the context of this PostTest PreTes t where the first dat a set represents a pre-test and the second data set represents a post-test. Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your ?1 and ?2 are so that the differences are computed correctly.) 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 48.7 45.2 51.2 66.4 59 51.6 64.9 64.8 46.6 51.6 69.6 70.4 68.5 58.8 52.8 54.2 65.3 58.7 73.2 75.2 87.5 56.4 65.8 51.2 50.1 53.9 60.8 48.7 64.1 67.4 83.3 59.2 64.8 62.9 79.7 54.7 59.5 75.5 What is the test statistic for this sample? test statistic

Answer 1

Sigma_x d = squareroot 1/N - 1 sigma^N_i = 1 (X_di - X _d)^2 sigma_x d = 4.102 sigma_xd = sigma_xd/squareroot 20 sigma _xd = 0.917 Test statistic Z = x_d - mu _d/ sigma _xd, mu_d = 0 (Bloz H_0: m_d = 0) N = 20 = 6.43 - 0/ sigma _xd/ squareroot N = 6.43/0.917 test statistic Z = 7.019

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