Consider a population of five units which are {1, 3, 4, 5, 5} (a) What is µ, the population average? (b) How many simple random samples of size 3 can be drawn from this population? (c) List all the simple random samples of size 3 (d) For each of the SRS, find the sample mean (e) Using your answers above write down the probability distribution for the random variable X; that is write down all the possible values and their probabilities. (f) Is the sample mean unbiased? (Remember, an estimator X i

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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.