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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. a) Identify whether we would need to treat this data as dependent (paired) samples or as independent samples. Support your decision. 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% significance 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 Mean Variance Observations Hypothesized Mean Difference AWT(NSW) 16.28 22.25 25 0 44 1.39 0.09 1.68 0.17 2.02 AWT (VIC) 14.64 12.40 25 df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Figure 1: t-Test: Two-Sample Assuming Unequal Variances

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. a) Identify whether we would need to treat this data as dependent (paired) samples or as independent samples. Support your decision. 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% significance 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 Mean Variance Observations Hypothesized Mean Difference AWT(NSW) 16.28 22.25 25 0 44 1.39 0.09 1.68 0.17 2.02 AWT (VIC) 14.64 12.40 25 df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Figure 1: t-Test: Two-Sample Assuming Unequal Variances

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. a) Identify whether we would need to treat this data as dependent (paired) samples or as independent samples. Support your decision. 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% significance 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 Mean Variance Observations Hypothesized Mean Difference df t Stat Mean Variance Observations Pearson Correlation Hypothesized Mean Difference AWT(NSW) 16.28 22.25 df t Stat P(T<=t) one-tail t Critical one-tail 25 0 44 1.39 0.09 1.68 0.17 2.02 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Figure 1: t-Test: Two-Sample Assuming Unequal Variances AWT (NSW) 16.28 22.25 25 0.17 0 24 1.52 0.07 1.71 0.14 2.06 AWT (VIC) 14.64 12.40 25 P(T<=t) two-tail t Critical two-tail Figure 2: t-Test: Paired Two Sample for Means AWT (VIC) 14.64 12.40 25
Transcribed Image Text: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. a) Identify whether we would need to treat this data as dependent (paired) samples or as independent samples. Support your decision. 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% significance 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 Mean Variance Observations Hypothesized Mean Difference df t Stat Mean Variance Observations Pearson Correlation Hypothesized Mean Difference AWT(NSW) 16.28 22.25 df t Stat P(T<=t) one-tail t Critical one-tail 25 0 44 1.39 0.09 1.68 0.17 2.02 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Figure 1: t-Test: Two-Sample Assuming Unequal Variances AWT (NSW) 16.28 22.25 25 0.17 0 24 1.52 0.07 1.71 0.14 2.06 AWT (VIC) 14.64 12.40 25 P(T<=t) two-tail t Critical two-tail Figure 2: t-Test: Paired Two Sample for Means AWT (VIC) 14.64 12.40 25
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