A study recently published 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. The results of a 2 sample T-test (assuming unequal variance) are given here. AWT(NSW)AWT (VIC) Mean16.2814.64Variance22.2512.40Observations2525Hypothesized Mean Difference0df44t Stat1.39P(T<=t) one-tail0.09t Critical one-tail1.68P(T<=t) two-tail0.17t Critical two-tail2.02(a) What is the difference in mean waiting times between the two states? 2 marks(b) Define the parameters. 2 marks(c) What is the null hypothesis? 2 marks(d) What is the alternative hypothesis? 2 marks(e) What is the test statistic? 2 marks(f) What is the p value? 2 marks(g) Make a decision about the null hypothesis. 2 marks(h) Write a conclusion. 2 marksMathStatistics and Probability STAT 1060
