Question 20 8 pts Show all your work. indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. You can type your answers below or upload an image of your answers using the image upload icon in the toolbar above. This problem is worth 10 points, you need only score 8 for full credit. Hip replacement (total hip arthroplasty) is surgery to replace a worn-out or damaged hip joint. The surgeon replaces the old joint with an articial joint (prosthesis). This surgery may be a choice after a hip fracture or for severe pain because of arthritis. A medical center developed a new surgical procedure designed to reduce the average recovery time from hip surgery. To test the effectiveness of the new procedure, a study was conducted in which 224 patients needing hip replacement surgery were randomly assigned to receive either the standard procedure or the new procedure. Summary statistics on the recovery times from the surgery are shown in the table. _ Mean Recovery Time Standard Deviation Type of Procedure Sample Size , (days) Recovery Time (days) Complete a signicance test to determine if the data provide convincing statistical evidence that those who receive the new procedure will have less recovery time from the surgery on average, than those who receive the standard procedure for patients similar to those in the study