In an experiment to test the effectiveness of new sleeping aid, we had two independent groups. A sample group of 12 patients who took the new drug had the average time to fall asleep was 27.3 minutes...

In an experiment to test the effectiveness of new sleeping aid, we had two independent groups. A sample group of 12 patients who took the new drug had the average time to fall asleep was 27.3 minutes with a standard deviation of 5.2 minutes; while a sample group of 14 patients who took a commonly used drug (older drug) had an average time was 32.7 minutes with a standard deviation of 4.1 minutes. Assume normality is satisfied.