Given the following confidence interval for a population mean, compute the margin of error, $E$.
\[
12.13< \mu< 12.73
\]
Answer
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\[
E=
\]

Step 1 ：Given the confidence interval for a population mean is \(12.13<\mu<12.73\).

Step 2 ：The margin of error (E) in a confidence interval is calculated as the difference between the upper limit and the mean or the difference between the mean and the lower limit.

Step 3 ：In this case, the mean (\(\mu\)) is not given directly, but it can be calculated as the average of the lower and upper limits of the confidence interval.

Step 4 ：Calculate the mean (\(\mu\)) as \((12.13 + 12.73) / 2 = 12.43\).

Step 5 ：Once we have the mean, we can subtract it from the upper limit or add it to the lower limit to get the margin of error.

Step 6 ：Calculate the margin of error (E) as \(12.73 - 12.43 = 0.30\).

Step 7 ：Final Answer: The margin of error, \(E\), is \(\boxed{0.30}\).