Q. Past records suggest that the mean annual income, of teachers in state of New York is less than or equal to the mean annual income, , of teachers in Rhode Island. In a current study, a random sample of teachers from New York and an independent random sample of teachers from Rhode Island have been asked to report their mean annual income. The data obtained are as follows:
Annual income in dollars
New York

Rhode Island

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The population standard deviation for mean annual income of teachers in New York and in Rhode Island are estimated as and , respectively. It is also known that both populations are approximately normally distributed. At the level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of New York is less than or equal to the mean annual income of teachers in Rhode Island? Perform a one-tailed test.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.