Assignment

Part 1 This online calculator Two Independent Samples with Statistics & will help with performing hypothesis tests and calculating confidence intervals. 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. 5. 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? Assume that the patient knows nothing about statistics