The mean IQ for a population is 100, and the standard deviation is 15. Girard’s IQ is 142.

a.  State the null hypothesis.

b.  State the research (alternative) hypothesis.

c.  If Girard is just a random person from the population, what is the probability that his IQ would be so high?

d.  You have not learned the standards for rejecting or retaining the null hypothesis. However, given the percentage of people with IQ’s as high as or higher than Girard’s in this population, does it seem like Girard’s IQ is high enough to reject the null hypothesis? Justify your decision.