In: Statistics and Probability
1. In 1989, the average age of inmates on death row was 36.5 years of age, according to data obtained from the U.S. Department of Justice. A sociologist believes that the average age of death-row inmates has changed since then. She randomly selects 40 death-row inmates and finds that their mean age is 38.9 years. Assuming that ages of death-row inmates vary with a standard deviation of 8.6 years,
a. Provide a point estimate (and the associated standard error) for the current average age of death-row inmates.
b. Provide a 95% two-sided confidence interval for the current average age of death-row inmates. Interpret the result.
c. Based on your interval in part b, does it look like this average has changed?
d. Provide a 90% upper bound confidence interval for the current average age of death-row inmates. Interpret the result.
e. Provide a 99% lower bound confidence interval for the current average age of death-row inmates. Interpret the result.