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Difference in mean waiting times between two states

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Reference no: EM133031111

Problem: 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.

(a) What is the difference in mean waiting times between the two states?

(b) Define the parameters.

(c) What is the null hypothesis? 

(d) What is the alternative hypothesis?

(e) What is the test statistic?

(f) What is the p value?

(g) Make a decision about the null hypothesis.

(h) a conclusion. 

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<=t) one-tail

0.09

 

t Critical one-tail

1.68

 

P(T<=t) two-tail

0.17

 

t Critical two-tail

2.02

Reference no: EM133031111

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