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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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The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of&nb