4. Reza took a random sample of 50 residents in Ontario and found that the mean height of men in is 175.1 cm. Suppose that the team is made aware of the fact that the distribution of heights is distributed normally.

a . The sample median is an unbiased estimate of the mean height of men in Ontario. Is the following statements about the estimator true? Justify your answer. A statement True/False with no context will not receive any points:

b . Determine whether or not the median or mean is an efficient estimator of the population median. (Hint: Let n = 2m + 1 where m is the midpoint. For large samples the central limit theorem for the sampling distribution is normal with a variance of c/ 4m ).