A statistics professor compared the scores of her morning class and afternoon class on the same quiz. The 42 morning students' average score was 83.52 with a standard deviation of 7.81, while the 46 afternoon students' average score was 79.44 with a standard deviation of 6.62. (a) Which test would you use to compare the means? (b) State the hypotheses to see if there was a difference. (c) Obtain a test statistic and p-value. (d) Why might there be a difference between morning and afternoon scores? Explain. (e) Is it reasonable to assume equal variances? (f) Carry out a formal test for equal variances at α = .05, showing all steps clearly.