The following confidence interval gives a range of likely values for the average height of all American adult women.
$(58, 64)$

Determine the point estimate $(\bar{x})$ and margin of error $(E)$ used to construct this particular confidence interval.
$\begin{array}{l} \bar{x} = \\ E = \end{array}$

Answer

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Answer

So, we have $\bar{x} = 61.0$ and $E = 3.0$ .

Steps

Step 1 ：Define the lower and upper bounds of the confidence interval as 58 and 64 respectively.

Step 2 ：Calculate the point estimate by adding the lower bound and the upper bound and dividing by 2. This gives a point estimate of 61.0.

Step 3 ：Calculate the margin of error by subtracting the point estimate from the upper bound. This gives a margin of error of 3.0.

Step 4 ：The point estimate $(\bar{x})$ used to construct this confidence interval is 61.0 and the margin of error $(E)$ is 3.0.

Step 5 ：So, we have $\bar{x} = 61.0$ and $E = 3.0$ .