Test scores: 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 7 = 2.5. Assume the standard deviation is o = 10. Let p be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses H0: P = 0 versus H1 > 0. a. Compute the value of the test statistic. b. Compute the P-value. c. Do you reject H0 at the a = 0.05 level? d. Is the result of practical significance? Explain.​