2. Choose 4 of the 5 to solve. Make sure you include any conditions that need to be tested, hypothesis, p value, rejection statement and conclusion. You may use the applets to run your statistical test. a) Medical researchers enlisted 90 subjects for an experiment comparing treatments for depression. The subjects were randomly divided into three groups and given pills to take for a period of three months. Unknown to them, one group received a placebo, the second group the "natural" remedy St. J ohn's wort, and the third group the prescription drug Posrex. After six months, psychologists and physicians (who did not know which treatment each person and received) evaluated the subjects to see if their depression had returned. I Treatment Diagnosis I Placebo I St] W Posrex Depression returned I 24 I 22 14 No sign of depression I 6 I 8 l6 b) Resting pulse rates for a random sample of 26 smokers had a mean of 80 beats per minute (bpm) and a standard deviation of 5 bpm. Among 32 randomly chosen nonsmokers, the mean and standard deviation were 74 and 6 bpm. Both sets of data were roughly symmetric and had no outliers. Is there evidence of a difference in mean pulse rate between smokers and nonsmokers