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 α = 0.05.

                             Version A             Version B
Sample size                45                         65
Mean score                8.8                         8.2
Sample variance         2.6                          2.4

What is the test value for this hypothesis test?

Answer: Round your answer to two decimal places.

What is/are the critical value(s) for this hypothesis test? If there are two critical values, give only the positive value.

What is the conclusion for this hypothesis test? Choose one.

1. There is not sufficient evidence to show that one version of the exam is more difficult than the other.
2. There is sufficient evidence to show that one version of the exam is more difficult than the other.