Education and mortality The software output below is based on the mortality rate (deaths

Chapter 26, Problem 51

(choose chapter or problem)

Education and mortality The software output below is based on the mortality rate (deaths per 100,000 people) and the education level (average number of years in school) for 58 U.S. cities. Variable Count Mean StdDev Mortality 58 942.501 61.8490 Education 58 11.0328 0.793480 Dependent variable is: Mortality R-squared = 41.0% s = 47.92 with 58 - 2 = 56 degrees of freedom Variable Coefficient SE(Coeff) Intercept 1493.26 88.48 Education -49.9202 8.000 a) Comment on the assumptions for inference. b) Is there evidence of a strong association between the level of Education in a city and the Mortality rate? Test an appropriate hypothesis and state your conclusion. c) Can we conclude that getting more education is likely (on average) to prolong your life? Why or why not? d) Find a 95% confidence interval for the slope of the true relationship. e) Explain what your interval means. *f) Find a 95% confidence interval for the average Mortality rate in cities where the adult population completed an average of 12 years of school.