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Use the confidence interval to find the estimated margin of error. Then find the sample mean.
A biologist reports a confidence interval of $(4,0,5.2)$ when estimating the mean height (in centimeters) of a sample of seedlings.

The estimated margin of error is $\square$
The sample mean is $m$

Step 1 ：The confidence interval is given by the formula: \(\text{Confidence Interval} = \text{Sample Mean} \pm \text{Margin of Error}\)

Step 2 ：To find the margin of error, we can subtract the lower limit of the confidence interval from the upper limit, and then divide by 2.

Step 3 ：To find the sample mean, we can add the lower limit of the confidence interval to the margin of error.

Step 4 ：Given the lower limit is 4.0 and the upper limit is 5.2.

Step 5 ：Calculate the margin of error: \((5.2 - 4.0) / 2 = 0.6\)

Step 6 ：Calculate the sample mean: \(4.0 + 0.6 = 4.6\)

Step 7 ：Final Answer: The estimated margin of error is \(\boxed{0.6}\) and the sample mean is \(\boxed{4.6}\)