The anterior cruciate ligament (ACL) is one of the ligaments that help stabilize the knee. Surgery is often recommended if the ACL is completely torn, and recovery time can be lengthy. A medical center developed a new surgical procedure designed to reduce the average recovery time from surgery. To test the effectiveness of the new procedure, a study was conducted in which 210 patients needing surgery to repair a torn ACL were randomly assigned to receive either the standard procedure or the new procedure.

a. based on the design of the study, would a statistically significant result allow the medical center to conclude that the new procedure causes a reduction in recovery time compared to the standard procedure, for patients similar to those in the study? Explain your answer.

Summary statistics on the recovery times from the surgery are shown in the table below.

Type of Sample Mean Recovery Time Standard Deviation Procedure Size (days) Recovery Time (days) m_