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Difference of proportion of annual income

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Past records suggest that the mean annual income,of teachers in state of Texas is greater than or equal to the mean annual income,of teachers in Virginia. In a current study, a random sample of 25 teachers from Texas and an independent random sample of 25 teachers from Virginia have been asked to report their mean annual income.The data obtained are as follows.

Annual income in dollars (attached)
Texas column A

Virginia column B

The population standard deviation for mean annual income of teachers in Texas and in Virginia are estimated as 6100 and 6300, respectively. It is also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of Texas is greater than or equal to the mean annual income of teachers in Virginia?

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The difference of proportion of annual income of teachers in the state of Texas and Virginia is determined. The standard deviation is determined.

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Let be the mean annual income of teachers in Texas, and be the mean annual income of teachers in ...

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