Blood sugar level (190 mg/dl) in pregnant women is an important factor associated with a diabetes diagnosis. Kings County hospital's record showed that the mean blood sugar level for pregnant women in their hospital is normal (190mg/dl). A new physician believes this incorrect and found the average blood sugar level of 1,500 pregnant women to be 220mg/dl with a standard deviation of 2.81. Test the claim that the mean blood sugar level is different from 190mg/dl using a 0.05 significance level.