Question: Suppose that after completing problem #2 you wonder if the population average meets the national standard of 77.5 for the exam. (4%)
a. Using the sample results from 2, test the hypothesis that the mean score is 77.5. Write out your null (H0) and alternative (H1) hypotheses. Which hypothesis do you support? Why?
b. Assume you find by repeating the sampling process that the true mean score on the exam is 78 and that the standard deviation is 5. Further, you find that the data is approximately normally distributed. Generate a range that represents the middle 68% and 95% of scores (Hint: much as in Stats 1).