A professor gives an exam for which there are two versions, A and B. Each student in the class is given one randomly selected version of the exam. After the exam, the professor wishes to determine if there is a difference in the level of difficulty of the two versions by determining if there is a significant difference in the mean scores. Assume a= 0.05.
Version A = sample size 45, mean score is 8.8 and the sample variance of 2.6
Version B = sample size 65, mean score is 8.2 and the sample variance of 2.4
What is the test value for this hypothesis test?
What is the critical value(e) for this hypothesis test? If there are two critical values, give only the positive value.