question archive Students that did not graduate high school can get an equivalent degree (GED) by successfully completing a set of tests

Students that did not graduate high school can get an equivalent degree (GED) by successfully completing a set of tests

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Students that did not graduate high school can get an equivalent degree (GED) by successfully completing a set of tests. We are interested in the effectiveness of a two-day GED test prep course. To test the effectiveness of the test prep course we get a SRS of  incoming test prep students to take a mock GED test before and after the test prep course. Using a well designed matched-pairs setup, we compute the difference in mock test scores (after minus before) and calculate the average sample difference to be  =  with . Assume that a boxplot of the sample of differences is symmetric with no outliers.

a. If appropriate (aka check conditions), conduct a hypothesis test to see if the two-day test prep course improves student GED scores. That is to say, if appropriate, we want to test the hypothesis:

 

Provide the calculated test statistic (rounded to 3 decimal places) and use a significance level of  =0.01 to make your conclusion (clearly state the P-value range and your final conclusion).  Show written work for ALL of the calculations AND include a clearly stated P-value range and final conclusion for the hypothesis test

Test Statistic = ?

b. Based on your conclusion, would you say that you have statistically significant results?

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