1. (a) An anthropologist wishes to estimate the average height of men for a certain racial group. Assume that the male population SD is 2.5 inches and she randomly samples 100 men. Find the probability that the difference between the sample average and the true population mean will not exceed 0.5 inch. (b) Suppose the anthropologist wants the difference between the sample average and the true popu- lation mean to be less than 0.4 inch with probability 0.95. How many men should she sample to achieve this objective?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.