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Q4) Salaries for 20 male and 17 female school superintendents in a certain metropolitan are shown below. ---MEN--- ---WOMEN --- 114000 121421 94675 96000 115024

Q4) Salaries for 20 male and 17 female school superintendents in a certain metropolitan are shown below. ---MEN--- ---WOMEN --- 114000 121421 94675 96000 115024 112187 123484 112455 115598 110160 99703 120118 108400 128322 86000 124163 109900 128041 108000 76340 120352 125462 94940 89600 118000 113611 83933 91993 108209 123814 102181 110000 111280 86840 151008 112280 85000 a) Estimate the difference between the salaries of men and women. b) Estimate the difference between the salaries of men and women with 95% confidence level. c) Do male and female school superintendents earn the same pay? Use 0.01 significance level. -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Q5)Salaries for 20 male and 17 female school superintendents in a certain metropolitan are shown below. It s known that their salary variations are equal. ---MEN--- ---WOMEN--- 114000 121421 94675 96000 115024 112187 123484 112455 115598 110160 99703 120118 108400 128322 86000 124163 109900 128041 108000 76340 120352 125462 94940 89600 118000 113611 83933 91993 108209 123814 102181 110000 111280 86840 151008 112280 85000 a) Estimate the difference between the salaries of men and women. b) Estimate the difference between the salaries of men and women with 95% confidence level. c) Do male and female school superintendents earn the same pay? Use 0.01 significance level.

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