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?

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Answers

2014-10-31T18:55:00+05:30
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

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