In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of 6 students were given the exam before and after taking the course. The results for the six students respectively are: (83, 89, 93, 77, 86 and 79) are scores before the course, while (87, 88, 91, 77, 93, and 83) are scores after the course. The value of the test statistic to be used is
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Assume that a simple random sample has been selected and test the given claim. Unless specified
by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Data Set 17 "Course Evaluations" in Appendix includes data from student evaluations of courses. The summary statistics are n= 93, x = 3.93, s= 0.53. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00.
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