In: Statistics and Probability
Teachers at a particular private school thought that they were doing an exceptional job. In order to determine just how good their school was doing, they decided to have 200 of their students undergo intelligence testing just prior to graduation. The particular intelligence test they used is normed to have a mean of 100 and a standard deviation of 15 in the population. The students from the private school scored an average of 97 over the three years that testing was conducted. They wanted to test whether the average score from the private school students was different than the population mean.
a) What is the appropriate model of the population distribution?
b) What are the appropriate hypotheses for this analysis?
c) What is/are the critical value(s) for this test using an alpha of 0.01?
d) What is the observed value of the appropriate test statistic?
e) What is your decision regarding the stated hypotheses?
f) Was the school doing an exceptional job based on their students’ IQs?
bold answers.