Refer to the situation described in Exercise 6.226 where two statistics instructors are comparing class means on common exams. Suppose that the class sizes are both 100, rather than 25. If all else remains the same, are we more, less, or equally likely to see a difference in means as large as 3 or more points between the two classes? Do a calculation based on the larger samples to check your conjecture.

Exercise 6.226

Professor A and Professor B are teaching sections of the same introductory statistics course and decide to give common exams. They both have 25 students and design the exams to produce a grade distribution that follows a bell curve with mean μ = 75 and standard deviation σ = 10.