Hi,

For problem number four:

You're a brilliant investor who recently won a normal prize, but you are obsessed with intelligence. You start a company and as part of hiring practices, you institute an IQ test. You know that IQ tests are designed to have an average of 100 and standard deviation upon retaking of the tests of 15. you want to be 99 percent sure that no one with an average IQ or lower is employed in each batch of 10 employees you test.

What would the power of the test be for an employee has an IQ of 125 with a standard deviation of 15?