Membership in Mensa requires an IQ score above 131.5. Eight candidates take IQ tests, and their summary results indicated that their mean IQ score is 132. (IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.) a. If 1 person is randomly selected, find the probability of getting someone with an IQ score of at least 132. b. If 8 people are randomly selected, find the probability that their mean IQ score is at least 132. c. Although the summary results are available, the individual IQ test scores have been lost. Can it be concluded that all 8 candidates have IQ scores above 132 so that they are all eligible for Mensa membership?

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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.