A study recently pubiished by Medicare claims that there is no difference between the average waiting time (in days) for cancer surgery patients in New South Wales public hospitals, compared to those in Victoria. An independent expert is appointed to test the claim in the article. During a six months period. the expert records the waiting time for 25 randomly selected patients from each state. Use the following output to answer the research question. a) Identify whether we would need to treat this data as dependent (paired) samples or as independent samples. Support your decision. (2 marks) b) Figure 1 below provides output obtained from an analysis assuming two independent samples, whilst Figure 2 provides output obtained from an analysis assuming that the samples are dependent. Use the appropriate output to conduct a hypothesis test. at the 5% signicance level. to determine whether there is a difference between the average waiting time (AWT) for cancer surgery in New South Wales and Victoria. Be sure to include the hypotheses, p-value. decision, and conclusion (5 marks) AWT(NSW) AWT (VIC) Mean 16.28 14.64 Variance 22.25 12.40 Observations 25 25 Hypothesized Mean Difference 0 df 44 t Stat 1.39 P(T