Question 584875: Use the confidence interval to find the margin of error and the sample mean:
(0.256,0.380)
a.The margin of error is: _____
b.The sample mea is: _____
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! a)
The margin of error is equal to the radius of the confidence interval or half the width of the confidence interval.
Margin of Error:
ME = (b-a)/2, where the confidence interval is (a,b)
ME = (0.380-0.256)/2
ME = 0.062
So the margin of error is 0.062
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b)
The sample mean is the center of the confidence interval. Note: this is assuming that this is a confidence interval for the true population mean.
Sample Mean:
xbar = (a+b)/2, for some confidence interval (a,b)
xbar = (0.256 + 0.380)/2
xbar = 0.318
So the sample mean is 0.318
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