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Normally distributed with a mean

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15.

Find the probability that a randomly selected adult had an IQ greater than 131.5 (the requirement for membership in the Mensa organization). Round to the nearest thousandth.

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## Q : Null and alternative hypotheses

What are the null and alternative hypotheses? What is the p-value for the test. What is the appropriate conclusion?