Question

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: = 648, = 120, and = 100 1 x 2 1 s 1 n District Y: = 495, = 140, and = 90 2 x 22 s 2 n Verify at 0.05 level of significance whether the sample results support the claim of the organization.

Answer 1

test statistics=(x1 bar- x2 bar)(s1^2/n1)(s2^2/n2)
substitute the values and you will get the answer.
I got this answer. please check it.
(x1 bar- x2 bar)(s1^2/n1)(s2^2/n2)
⇒(648-495)(120/100)(140/90)
⇒(153)(12/10)(14/9)
⇒1428/5
⇒285.6
Therefore,Statistics = 285.6