Detemine the point estimate of the population mean and margin of error if the confidence interval has lower bound 125.8 and upper bound 152.6

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embizze | High School Teacher | (Level 2) Educator Emeritus

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Given `125.8<=mu<=152.6` :

The confidence interval for the mean is of the form:

`bar(x)-"error"<=mu<=bar(x)+"error"` where `bar(x)` is the point estimate for the mean.

Here we have `139.2-13.4<=mu<=139.2+13.4`

(139.2 is the average of the bounds -- 13.4 is the distance from the average to the bounds)


The point estimate for the mean is 139.2 and the error is 13.4



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