A math teacher has developed a new program to help high school students prepare for the math SAT. A sample of 100 students enroll in the program. They take a math SAT exam before the program starts and again at the end to measure their improvement. The mean number of points improved was ?̅ = 2.5 with ? = 10. Let ? be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses ??: ? = 0 versus ??: ? > 0. Perform the hypothesis test at ? = 0.05 showing all five of the important components. (a) Is the result statistically significant? (b) Is the result of practical significance? Explain.

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