A geologist is making guesses about the mean length of fossil teeth of a certain species found in a location. According to her judgment, the probability is 0.25 that their mean will be higher than 17.8 cm, and the probability is 0.15 that they will be higher than 19.2 cm. If the geologist’s uncertainty about the length of the teeth can be represented by a normal distribution, what are the mean and variance of that distribution?

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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.