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Past records suggest that the mean annual income, p1, of teachers in state of Utah is greater than or equal to the mean annual income, p2, of teachers in Oregon. In a current study, a random sample of 15 teachers from Utah and an independent random sample of 15 teachers from Oregon have been asked to report their mean annual income.The data obtained are as follows. Annual income in dollars Utah 36279, 32015, 41860, 41963, 41167, 35870, 38006, 30765, 35595, 37469, 32330, 27672, 38311, 26887, 33003 Oregon 44090, 45664, 44033, 44590, 47695, 34507, 44276, 32503, 40145, 38996, 32844, 37121, 29725, 36884, 39488 l Send data to calculator v :l l Send data to Excel l The population standard deviation for mean annual income of teachers in Utah and in Oregon are estimated as 6400 and 6500, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of signicance, is there sufcient evidence to reject the claim that the mean annual income of teachers in state of Utah is greater than or equal to the mean annual income of teachers in Oregon? Perform a one-tailed test. Then ll in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specied in the table. (If necessary, consult a list of formulas.) The null hypothesis: The alternative hypothesis: The type of test statistic: (Choose one) V The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.01 level of significance: (Round to at least three decimal places.) I] Can we reject the claim that the mean annual income of teachers from Utah is greater than or equal to the mean annual income of teachers from Oregon? 0 Yes ONo