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Please answer In a current study, a random sample of 10 teachers from Texas and an independent random sample of 10 teachers from Virginia have

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In a current study, a random sample of 10 teachers from Texas and an independent random sample of 10 teachers from Virginia have been asked to report their annual income. The data obtained are as follows. Annual income in dollars Texas 38451, 24692, 41306, 36308, 33226, 35383, 46806, 34008, 37476, 36687 Virginia 33062, 37882, 50347, 35854, 46839, 50422, 55906, 31364, 32913, 26701 Send data to calculator Send data to Excel The population standard deviations for the annual incomes of teachers in Texas and in Virginia are estimated as $6100 and $6600, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference , - J, between the mean annual income of teachers from Texas (u, ) and the mean annual income of teachers from Virginia (M, ). Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: X Upper limit

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