Diastolic blood pressure for diabetic women has a normal distribution with unknown mean and a standard deviation equal to 10 mmHg. A sample of 8 diabetic women is selected and their mean DBP is calculated as 85mmHg. A. Calculate and interpret a 95% confidence interval for the true population mean diastolic blood pressure for diabetic women. B. Researchers want to know if the mean DBP of diabetic women is equal to the mean DBP among the general public, which is known to be 76 mmHg. Based on your confidence interval, what would you suggest? Suppose you are interested in estimating the mean Body mass index (BMI, reported in kg/m2) in the NHANES population. A. Select a sample of 40 individuals who have a BMI measure recorded in the dataset and calculate and interpret the 95% confidence interval corresponding to your sample. B. Now select a sample of 100 individuals who have a BMI measure recorded in the dataset and calculate and interpret the 95% confidence interval corresponding to your sample. C. Compare the intervals from A and B. D. Calculate the actual population parameter by finding the average BMI for all NHANES participants. Do your intervals contain the true population mean? In a length of hospitalization study conducted by several cooperating hospitals, a random sample of 64 peptic ulcer patients was drawn from a list of all peptic ulcer patients ever admitted to the participating hospitals and the length of hospitalization per admission was determined for each. The mean length of hospitalization was found to be 8.25 days, and the standard deviation is 3 days. A. What is the population of interest? B. Produce and interpret a 95% confidence interval for the true population mean length of hospitalization. 0. Produce and interpret a 90% confidence interval for the true population mean length of hospitalization. D. How do the widths of these intervals compare