Oneyear, the mean age of an inmate on death row was 38.7 years. A sociologist wondered whether the mean age of adeath-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 37.5, with a standard deviation of 8.8. Construct a95% confidence interval about the mean age. What does the intervalimply?

Construct a95% confidence interval about the mean age.

With95% confidence, the mean age of a death row inmate is between _?_ years and _?_ years. (Round to two decimal places asneeded.)