Respuesta :
An 80% confidence interval is found to be (12, 20). Thus, the margin of error is 8.
How to interpret the confidence interval?
Suppose the confidence interval at P% for some parameter's values is given by
[tex]x \pm y[/tex]
That means that parameter's estimated value is P% probable to lie in the interval
[x-y,x+y]
In most of the cases, the confidence interval is constructed around the mean, and the absolute distance from the mean on right or left side of the mean is called the margin of error.
Thus, we get: Confidence interval [tex]limits= \overline{x} \pm MOE[/tex]
The width of the confidence interval
20-12 = 8 units.
That cuts in half to get 8/2 = 4 which is the margin of error.
The center of the confidence interval
(12+20)/2
= 32/2
= 16.
So, 16+4 = 20, which is the right endpoint.
Also, 16-4 = 12, which is the left endpoint.
Learn more about confidence intervals here:
https://brainly.com/question/16148560
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