A research organization claims that the monthly wages of industrial workers in district X exceeds that of those in district Y by more than Rs 150. Two different samples drawn independently from the two district yielded the following results:
District X: 1 x = 648, 2 1s = 120, and 1 n = 100
District Y: 2 x = 495, 2 2s = 140, and 2 n = 90
Verify at 0.05 level of significance whether the sample results support the claim of the organization?