ealth 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 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. click on the datafile logo to reference the data. 92 34 40 105 83 55 56 49 40 76 48 96 93 74 73 78 93 100 53 82 assuming that 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. if required, round your answers to two

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population means that sits between an upper and lower interval is frequently stated as a percentage.

Here, we have

Given Data: 92 34 40 105 83 55 56 49 40 76 48 96 93 74 73 78 93 100 53 82

We can calculate the mean and the deviation from these data with the following formulas:

X = ∑ᵃ 1ⁿxₐn

s = √∑ᵃ = 1ⁿ(xₐ - X)²n -1

X = 71 represents the sample mean for the sample

s=22.35 represent the sample standard deviation

n=20 represents the sample size

The confidence interval for the mean is given by the following formula:

X ± tα/2 - √n...(1)

In order to calculate the critical value tα/2 we need to find first the degrees of freedom, given by:

df = n - 1 = 20 -1 = 19

Since the Confidence is 0.95 or 95%, the value of α = 0.05 and α/2 = 0.025

and we can use excel, a calculator, or a table to find the critical value. The excel command would be:

tα/2 = 2.09

Now we have everything in order to replace into formula (1):

71 - 2.09- 2.35√20 = 60.554

71 + 2.09- 2.35√20 = 81.446

Hence, the 95% confidence interval would be given by (60.554;81.446).

To learn more about the confidence interval from the given link

https://brainly.com/question/15712887

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