Texas 41304, 49874, 24942, 51073, 26571, 40906, 25392, 33471, 42453, 40887, 32287, 26902, 22219, 28972, 51946, 19829, 36246, 38327, 44945, 38473
Indiana 39562, 32869, 35394, 45249, 50736, 32577, 37813, 38218, 36359, 42875, 28840, 38618, 47452, 33437, 34838, 56212, 28642, 36773, 41555, 33232
The population standard deviations for the annual incomes of teachers in Texas and in Indiana are estimated as $6200 and $6000, respectively. It is also known that both populations are approximately normally distributed. Construct a 95% confidence interval for the difference µ₁₂ between the mean annual income of teachers from Texas (µ₁) and the mean annual income of teachers from Indiana (H₂). Then find the lower limit and upper limit of the 95% 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.)