Use the confidence interval to find the margin of error and the sample mean.
\[
(0.282,0.400)
\]
The margin of error is
Answer
Final Answer: The margin of error is \(\boxed{0.059}\) and the sample mean is \(\boxed{0.341}\).
Step 1 ：Given the confidence interval (0.282,0.400).
Step 2 ：The margin of error is half the width of the confidence interval. The width of the confidence interval is the difference between the upper and lower limits. So, to find the margin of error, we subtract the lower limit from the upper limit and divide by 2. This gives us a margin of error of \(0.059\).
Step 3 ：The sample mean is the midpoint of the confidence interval. To find the sample mean, we add the lower limit and the upper limit and divide by 2. This gives us a sample mean of \(0.341\).
Step 4 ：Final Answer: The margin of error is \(\boxed{0.059}\) and the sample mean is \(\boxed{0.341}\).
