1. Use Minitab to run each hypothesis test. Give careful thought about whether to run an independent t-test or a paired t-test. In the case of independent t-tests be sure to consider whether or not you should assume equal variances (pooled) or not. Report the null and alternative hypothesis, the p-value, and the interpretation of the p-value using everyday language. a.) Incoming freshman taking a week long summer math boot camp were given a placement test before and after the camp. The scores are listed below. At the 5% significance level, what do you conclude about the effectiveness of the camp? Did the students improve the placement score? Pre Post 925 1000 1075 1100 650  700 1300 1100 900  900 1125 1050 850  875 1050 1200   b.) A clinical trial is investigating the effectiveness of a new pain reliever drug. 40 people with chronic lower back pain were recruited to the study. 20 participants were assigned to take the drug and 20 participants were assigned a placebo. The participants did not know whether they were assigned the drug or the placebo. After an hour, the participants were asked to report how much pain they were experiencing on a scale from 1 to 10 with one being little pain and 10 being the worst pain. The summarized results are shown below. Using the 5% significance level, what do you conclude about the effectiveness of the new drug?                                       New Drug            Placebo Mean:                                     3.8             6.5 Standard Deviation:                1.9            2.1