Q10(i.) State the central limit theorem. Q10(ii.) An anthropologist wishes to estimate the average height of men for a certain race of people. Let the population standard deviation be 2.5 inches and assume that she randomly samples 100 men. Find the probability that the sample mean of 100 men will be within 0.5 inches of the true population mean. Q10(iii.) Suppose the anthropologist wants the sample mean to be within 0.4 inches of the population mean with a probability of 0.95. How many men should she sample to achieve this objective