Methodology:

The test I have chosen is the Welch's t-test which is a variation of the student's t-test. I have chosen not to do the test suggested by Marvin(msm796) which was the 2 groups Mann Whitney test because my hypothesis needs to compare the means(expected values) of 2 distributions for which the t-test is much better than that. Also, I chose the Welch's test over the classical t-test because the variances for both the groups are unequal.