Exercise 8.16 The diameter of a coronary vessel (based on a representative sample of 75 subjects) has a mean of x = 2.75 mm and a standard deviation of s = 0.45 mm. subjects) has a mean of x = 2.75 mm and a standard deviation of s = 0.45 mm. Let us assume that the Assume that the diameter of this coronary vessel is normally distributed.

(a) Give a 95% confidence interval for the population mean of the diameter of this coronary vessel. (b) Give the standard error of the estimate of the mean. (c) Using the sample mean and standard deviation as the population mean and standard deviation, calculate the population mean and standard deviation. (c) Using the mean and standard deviation of the sample as the mean and standard deviation of the population, calculate the probability that the diameter of this coronary vessel is less than 2 mm. 2 mm.

(Please explain and show the steps of the answer)