In: Math
Life expectancy in the US varies depending on where an individual lives, reflecting social and health inequality by region. You are interested in comparing mean life expectancies in counties in California, specifically San Mateo County and San Francisco County. Given the data below, answer the following questions.
Mean life expectancy at birth for males in 2014 | Sample standard deviation | Sample size (n) | |
San Mateo County |
81.13 years |
8.25 |
101 |
SF County |
79.34 years |
9.47 |
105 |
1. Calculate the standard error of the mean difference in male life expectancy between the 2 counties, assuming nonequal variance.
2. Calculate a 99% confidence interval for the mean difference in male life expectancy between the two counties. Use the conservative approximation for degrees of freedom.
3. Based on your confidence interval, would you expect the mean difference in male life expectancy to be statistically significant at the α=.01 level? EXPLAIN