Estimate the difference with a confidence interval

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In a study of robotic versus radical surgery for prostatectomy in men with prostate cancer, samples of 160 men who had undergone robotic surgery and 260 men who had undergone radical surgery were taken. The operative time for each surgery and the length of the resulting hospital stay was recorded for each man with the results summarized as follows (Tewari, 2004).

Operative Time in Minutes for Robotic vs. Radical Surgery:

 

Sample Mean

Sample Std. Dev.

Sample size

Robotic Surgery

160

48

160

Radical Surgery

163

62

260

1) Perform a hypothesis test to determine if there is a statistically significant difference between the average operative time for robotic and radical surgery.  Make sure you state your null and alternative hypothesis, the test statistic, the P-value, your alpha level, and your conclusion.

2) If there is a statistically significant difference in the average operative times, estimate the difference with a 95% confidence interval.

Length of Hospital Stay in Days for Robotic vs. Radical Surgery:

 

Sample Mean

Sample Std. Dev.

Sample size

Robotic Surgery

1.2

0.7

160

Radical Surgery

3.5

0.6

260

3) Perform a hypothesis test to determine if there is a statistically significant difference between the average length of hospital stays for robotic and radical surgery.  Make sure you state your null and alternative hypothesis, the test statistic, the P-value, your alpha level, and your conclusion.

4) If there is a statistically significant difference in the average length of hospital stays, estimate the difference with a 95% confidence interval.

Base on your hypothesis tests and confidence interval(s), pretend you are speaking with a patient and you are giving recommendations as to which surgery (robotic/radical) would be better based solely on this data.  What would you say to this patient?

Reference no: EM132320224

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len2320224

6/11/2019 4:01:23 AM

Post one set of solutions with names of all participating students in the group to the Canvas course website. 2) The one file needs to be in either an MS Word format or PDF format 3) Graphs should be neat, clean and well-labeled. 4) “Explanations” and answers should given be given in the form of complete sentences.

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