Question: Suppose that after completing problem #2 you wonder if the population average meets

the national standard of 67 for the exam.

a. Using the sample results from 2, test the hypothesis that the mean score is 67. 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 65 and that the standard deviation is 4. Further, you find that the data is approximately normally distributed. Generate a range that represents the middle 68% and 95% of scores