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Mean iq score for a random sample

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 120.0 (the requirement for membership in the Mensa organization). Round to the nearest thousandth.

Also what is the probability that a random person will have an IQ between 100.0 and 120.0?

What would be the 95th percentile IQ scores?

What is the probability that a mean IQ score for a random sample of 40 people will exceed 104.0?

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## Q : Performing a rank correlation test

When performing a rank correlation test, one alternative to using the Critical Values of Spearman's Rank Correlation Coefficient table to find critical values is to compute them using this approximation: