Health insurers are beginning to offer telemedicine services online that replace the common office visit. a company provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. the company claims that users of its 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 the company:
95, 37, 43, 108, 86, 58, 59, 52, 43, 79, 51, 99, 96, 77, 76, 81, 96, 103, 56, 85
assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings for a tele-visit to the doctor as opposed to an office visit.