A test was conducted on two different classes to see if there was any significant difference between the performance of two teachers. The final exam scores of 15 students were sampled in the 1st class yielding a mean score of 82 with a standard deviation of 2.4. The mean final exam score of the 2nd class was 84 with a standard deviation of 1.7 using a sample of 12 students. Determine if there is any major difference at a 5% significance level.