1) A study was conducted comparing muscle function between patients with rheumatoid arthritis (RA) and osteoarthritis (OA). A 10-point scale was used to assess balance and coordination where a higher score indicates better coordination. Results of 11 randomly chosen patients with each condition are shown in the table. Balance/Coordination Score OA RA 0.9 1.1 1 1.3 1.1 1.5 1.1 2.3 1.4 2.5 1.7 3.1 1.8 3.2 1.8 3.8 2.1 3.9 3 4.1 3.1 4.3 Mean = 1.727 Mean = 2.827 Std. Dev = 0.759 Std. Dev = 1.165 a) Based on previous experience with this data, we cannot assume that Balance/Coordination Scores follow a normal distribution. Please run the appropriate hypothesis test to determine the effect of arthritis type on a patient balance and coordination. Use a significance level of 0.05 for your test