A manufacturer claims that their highlighters could write continuously for 14 hours. A researcher wanted to find out if the highlighters would last longer than 14 hours. The researcher tested 40 highlighters and recorded the number of continuous hours each highlighter wrote before drying up. The mean was 14.5 hours and the standard deviaton was 1.2 hours. Find the 95% confidence interval for the mean writing time for all the highlighters.
(round to three decimal places)