In a sample of 1000 fourth grade students, the average IQ score was 122. The prevailing view is that IQ is distributed normally with a mean of 100 and a standard deviation of 10.
a) Draw a figure that represents the population according to the standard view.
b) What kind of hypothesis testing procedure would you employ to answer the question, "is my sample likely to have been drawn from the "prevailing" population model?"
c) State the null hypothesis and the alternative hypothesis that are implied by this problem.
d) What is the "standard error of of the mean"? Do you have enough information to calculate it for this problem?