5.3.1 The National Health and Nutrition Examination Survey of 1988-1994 (NHANES III, A-1) estimated the mean serum cholesterol level for U.S. females aged 20-74 years to be 204 mg/dl. The estimate of the standard deviation was approximately 44. Using these estimates as the meanmand standard deviationsfor the U.S. population, consider the sampling distribution of the sample mean based on samples of size 50 drawn from women in this age group. What is the mean of the sampling distribution? The standard error?

1. Use the data cited in Exercise 5.3.1. Imagine we take samples of size 5, 25, 50, 100, and 500 from the women in this age group.
2. (a)Calculate the standard error for each of these sampling scenarios.
3. (b)Discuss how sample size affects the standard error estimates calculated in part (a) and the
4. potential implications this may have in statistical practice.