MY NOTES The authors of a paper were interested in estimating the mean time that patients who broke a hip had to wait for surgery before and after the opening of a new hospital facility. They reported that for a representative sample of 405 patients seen at this hospital before the new facility was opened, the mean wait time for surgery was 31.1 hours and the standard deviation of wait times was 27.0 hours. For a representative sample of 214 patients seen after the new facility was opened, the mean wait time for surgery was 28.7 hours and the standard deviation of wait times was 16.2 hours. I USE SALT (a) Construct a 95% confidence interval for the mean wait time (in hours) of patients seen before the new facility was opened. (Enter your answer using interval notation. Round your numerical values to three decimal places.) hr Interpret the previously found interval. We are 95% confident that the true mean wait time of patients in this sample who were seen before the new facility was opened falls within this interval. We can say that 95% of all patient wait times before the new facility was opened fall within this interval. There is a 95% chance that the true mean wait time of patients in this sample who were seen before the new facility was opened falls within this interval. We are 95% confident that the true mean wait time of patients seen before the new facility was opened falls within this interval. There is a 95% chance that the true mean wait time of patients seen before the new facility was opened falls within this interval. (b) Construct a 95% confidence interval for the mean wait time (in hours) of patients seen after the new facility was opened. (Enter your answer using interval notation. Round your numerical values to three decimal places.) hr Interpret the previously found interval. There is a 95% chance that the true mean wait time of patients in this sample who were seen after the new facility was opened falls within this interval. We are 95% confident that the true mean wait time of patients in this sample who were seen after the new facility was opened falls within this interval. We can say that 95% of all patient wait times after the new facility was opened fall within this interval. We are 95% confident that the true mean wait time of patients seen after the new facility was opened falls within this interval. There is a 95% chance that the true mean wait time of patients seen after the new facility was opened falls within this interval.