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In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indians are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference , ₂ between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (4₂). 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.)

In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indians are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference , ₂ between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (4₂). 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.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (₂). 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: Upper limit: B
Transcribed Image Text:In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (₂). 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: Upper limit: B
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