A car manufacturer is producing a piston for its engines. The piston is supposed to have a diameter of 5.3 inches, but because of variability, the diameter of a piston actually follows a normal distribution with a mean of 5.3 and a standard deviation of 0.01. If a piston is more than 0.025 inches away from the needed size of 5.3 inches, the piston is rejected. a. What percentage of pistons would you expect to be too large? b. What percentage of pistons would you expect to be too small?

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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.