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In a current study, a random sample of 20 teachers from Texas and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows: Annual income in dollars 35732, 37959, 43098, 21621, 40725, 27525, 27542, 43119, 42290, 48018, 36302, 41585 7961,44740, 35775, 27635, 45494, 33006, 50627, 45047 Texas 3 41760, 41471, 43483, 48834, 36943, 30975, 44291, 41084, 35323, 42696, 45377, 29561 2903, 46986, 39003, 30290, 41588, 36271, 38546, 51810 for the annual incomes of teachers in Texas and in Indiana are estimated as $6200 and $6000 The respectively. It is also known that both populations are approximately normally distributed. Construct a 00% con dence nterva for the difference μ1-μ2 between the mean annual income of teachers from Texas (μ) and the mean annual income or teachers from Indiana (μ2). Then complete the table below. 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) what is the lower limit of the 90% confidence interval? what is the upper init of the 90% confidence interval?
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