A major airline is experimenting with its training program for flight attendants. With the traditional six-week program, a random sample of 60 flight attendants achieves competency test scores with a mean of 83.5 and a standard deviation of 16.3. With a new ten-day program, a random sample of 35 flight attendants achieves competency test scores with a mean of 79.8 and a standard deviation of 19.2. At the 0.01 significance level, test the claim that the ten-day program results in scores with a lower mean.