# Determine The Point Estimate Of The Population Mean And Margin Of Error For The Confidence Interval

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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### 1 Answer

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)

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

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