Professor adams taught same large lecture course for two terms. Except for negligible differences, the two courses were the same. But, one met at 11 am and the other a 7 pm. The two courses were given final exams of same degree of difficulty and covering the same material. Both exams were worth 100 points. A random sample of 38 students from 7 pm class had average score of 73.2 points with standard deviation of 8.1 points. A random sample of 39 students from the 11 am class had average score of 78.1 points with standard deviation of 10.0 points. Does this provide evidence that one class performs at the higher level than the other? Confirm your response with hypothesis test and a 95% confidence interval.