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