Assume that the average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but the probability distribution of the population is unknown. If a random sample of 32 NFL players is selected, a)  What is the probability that the average weight of the sample will be less than 234 pounds? b)  What is the probability that the average weight of the sample is between 248 and 254 pounds? c)  Calculate the average weight of a sample is between 242 and 251 pounds if the sample consists of n = 120 players.

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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.