An expert witness for a paternity lawsuit testifies that the length of a pregnancy is approximately normally distributed with a mean of 280 days and a standard deviation of 13 days. An alleged father was out of the country from 240 to 306 days before the birth of the child, so the pregnancy would have been less than 240 days or more than 306 days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. Hint: Calculate the z-scores first, and then use those to calculate the probability    What is the probability that he was NOT the father?

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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.