Health insurers are beginning to offer telemedicine services online that replace the common office visit. Well point provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments (bloom berg business week, March 4-9, 2014). Well point claims that users of its Live Health 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 Well point?

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?