Health insurers are beginning to offer telemedicine services online that replace the common office visit. wellpoint provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments (bloomberg businessweek, march 4-9, 2014). wellpoint claims that users of its livehealth online service saved a significant amount of money on a typical visit. the data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by wellpoint.

92 34 40
105 83 55
56 49 40
76 48 96
93 74 73
78 93 100
53 82
assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings for a televisit to the doctor as opposed to an office visit.