Suppose the sediment density of specimens from a certain region has mean 2.55 and standard deviation 0.78.    a) If an (independent) random sample of 15 specimens is selected, then what is the expected value of the sample mean sediment density of the 15 specimens?     b) If an (independent) random sample of 15 specimens is selected, then what is the standard deviation of the sample mean sediment density of the 15 specimens?     c) For this part, assume that the sediment density of specimens are normally distributed. What is the probability that the sample mean sediment density of (independent) random sample of 15 specimens is at most 2.5?

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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.