A study by Peter & Associates assessed fatigue in faculty members due to stress. A random sample of 39 faculty members had a mean (average) post-lecture heart rate of 73.8 beats per minute (bpm). At the 5% significance level, do the data provide sufficient evidence to conclude that the mean post-lecture heart rate for faculty members exceeds the normal resting heart rate of 72 bpm? Assume the population standard deviation of post-lecture heart rates for faculty is 11.2 bpm.