3. The Lojinger Personnel Test tests general mental ability. The national average for the Lojinger Personnel Test is 37 with a standard deviation of 8. Dr. Stephens, a physics professor, is confident that her PHYS 320 class average would differ from the national average on the Lojinger Personnel Test. Dr. Stephens randomly sampled 10 students from her class and had them take the test (scores reported below). Does Dr. Stephens' class score differ from the national average on the Lojinger Personnel Test? Set alpha equal to 0.05.

39, 34, 46, 42, 34, 36, 50, 48, 35, 46

3a. Write the null and alternative hypotheses in symbols. (2 points)

3b. Set up the decision criteria. That is, find the critical value(s). (1 point)

3c. Compute the appropriate test statistics. Show your work. (3 points)

3d. Based on your results, evaluate the null hypothesis. (circle one) (1 point)

Reject Fail to reject

3e. State your conclusion in words. (1 point)