We want to compare fasting serum cholesterol levels of Filipino women to that of the other foreign women. Assume the cholesterol levels in 20- to 39-years old women in other foreign countries is normally distributed with mean µ = 190 mg/dl. Blood tests are performed on 100 female Filipinos in this age range rendered a sample mean cholesterol level of 181.52 mg/dl and standard deviation of 40 mg/dl. Conduct a test of hypothesis to determine whether Filipino women have lower average cholesterol levels than their foreign counterparts. Show all hypothesis testing steps.