8. In the population, the average IQ is 100 with a standard deviation of 15. A team of scientists wants to test a new medication to see if it has an effect on intelligence (as measured by IQ). A sample of 40 participants who have taken the medication has a mean of 140. Did the medication affect intelligence? Conduct the hypothesis testing. Use a=0.05. a) Formulate two hypotheses. b) Apply the appropriate test (show/explain 5-step procedure c) Formulate decision rule d) Calculate appropriate test statistics value. e) Make a final conclusion