Suppose that a 1-gallon can of paint covers 513.3 square feet on average with a standard deviation of 31.5 square feet. (a) What is the probability that the sample mean area covered by a sample of 40 of these 1-gallon cans will be more than 520 square feet? (b) What is the probability that the sample mean area covered by a sample of 40 of these 1-gallon cans will be anywhere between 510 to 520 square feet?

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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.