Suppose that the total cholesterol level of the American women between the ages of 18-30 has a known mean of 175 mg/dl. A group of female Asian immigrants (n = 36) has a computed mean of 165, and a determined standard deviation of 24 mg/dl. Is the cholesterol of female Asian immigrants significantly different from the American females at the 0.05 level of significance?
a. Determine the null and alternate hypotheses
b. Calculate the appropriate test statistic
c. State your conclusion
d. Calculate the upper and lower 95% confidence bounds
e. Calculate the power of this test
f. Calculate the sample size that would be needed to detect a difference of 8 with a two-tailed test at the 0.05 level and 90% power