4) (20) Rheumatoid arthritis is a painful disease of the body's joints. The maker of an experimental drug claims that the drug is effective in reducing arthritic pain. The drug, however, is expensive with an annual cost of $5,000 per person. A random sample of 144 arthritis suffers were given the drug and asked to report the change in their pain levels on a scale of +5 to -5 where +5 meant a great deal of pain relief, 0 meant no change in pain, and -5 meant a great deal of pain increase. The statistics below summarize participant assessments. N=144 Average=1.5 S= 3 Q1=-2 Q3=4 Max=5 Min=-4 a) (10) Do these data provide convincing evidence of the pain reduction effectiveness of the drug? Clearly state the null and alternative hypotheses, appropriate critical values, and conclusion of your test. Test for a = 0.02 b) (10) Given the conclusion of the test, to which type of error are you vulnerable, Type 1 or Type 2? In the context of this problem what is the interpretation and what are the consequences of making such an error for arthritis suffers