Question

Check My Work 0 0 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. Wellpoint 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 Wellpoint. 0 0 93 104 55 51 80 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 (to 2 decimals). 95% confidence interval: $ per visit to $ Check My Work

Answer 1

From the given sample data : Sample size=n=20

Sample mean=

X-ΣΧ 70.75 η

Sample standard deviation=$s=\sqrt{\frac{\sum (X-\bar{X})^2}{n-1}}22.3933$

Therefore , the 95% confidence interval for the mean saving for a televisit to the doctor at opposed to an office visit is ,

X ta/2,n-1

22.3933 70.75 – 10.05/2,20- 1 20

70.75 +2.093 + 5,0073
; From t-table
70.05/2,20–1 = 2.093

70.75±10.4803

60.27 <μ< 81.23

Therefore , the 95% confidence interval : $60.27 to $81.23 per visit.