Two methods were used to teach a college statistics course. A sample of 75 scores was selected for Method 1, and a sample of 60 scores was selected for Method 2. The summary of results is given below. Sample Statistic Method 1 Method 2 Mean 85 83
Standard Deviation 3 2
Test whether Method 1 was more successful than Method 2 at the 1% level of significance. In your detailed response indicate all assumptions made.