One year, the mean age of an inmate on death row was 39.8 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 38.7, with a standard deviation of 8.7. Construct a 95% confidence interval about the mean age. What does the interval imply?
H0: μ = 39.8
H1: μ ≠ 39.8
(Type integers or decimals. Do not round.)
Construct a 95% confidence interval about the mean age.
With 95% confidence, the mean age of a death row inmate is between years and years. (Round to two decimal places as needed.)