A blood sugar level above 160 milligrams per deciliter (mg/dl) of blood 2 hours after eating is a risk factor for gestational diabetes in pregnant women. At a medical center in Chicago, a study to test the effectiveness of a new drug to control blood sugar level was conducted. One hundred women diagnosed with gestational diabetes were available for this study. Fifty women were assigned at random to each of two treatment groups. One group received the standard medication and the other group received the new drug. After taking the drug for three weeks, the 50 subjects who received the standard treatment had a mean decrease in blood sugar level of 12 mg/dl with a standard deviation of 8 mg/dl, and the 50 subjects who received the new drug had a mean decrease of 15 mg/dl with a standard deviation of 9 mg/dl. Does the new drug appear to be more effective than the standard treatment in lowering mean blood sugar level? Give appropriate statistical evidence to support your conclusion. Assume all conditions for inference have been met.