Suppose the North Carolina University system tests the idea that computerization of statistics classes increases student performance in the courses. If the computers are found to have a beneficial effect, the school will spend twenty million to computerize all statistics classrooms. The population mean statistics GPA presently is believed to be 2.35, with a standard deviation of 1.25. A sample is taken of 100 students who took experimental computerized statistics classes. Their sample GPA in the stat classes was 2.45. Test the idea that computerization increases student GPA, setting a level of significance of .01.

A. What is the null and alternative hypothesis

B. What is/are the criterion values?

C. What is the decision regarding the null hypothesis?

D. Write the conclusion in a single sentence (In your answer, address whether the school should computerize the classrooms.)

E. Would the conclusion be different if we’d used a 0.05 alpha level? Explain why or why not.