In: Statistics and Probability
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.
| 100 | 42 | 48 | 113 | 
| 91 | 63 | 64 | 57 | 
| 48 | 84 | 56 | 104 | 
| 101 | 82 | 81 | 86 | 
| 101 | 108 | 61 | 90 | 
Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings in dollars for a televisit to the doctor as opposed to an office visit. (Round your answers to the nearest cent.)
$ to $