Use the confidence interval to find the estimated margin of error. then find the sample mean.
a biologist reports a confidence interval of (3.8,4.8 )when estimating the mean height (in centimeters) of a sample of seedlings.

The estimated margin of error = 0.5 centimeter

The sample mean = 4.3 centimeters

Step-by-step explanation:

The confidence interval for population  mean is given by :-

or

, where = sample mean.

E = Margin of error .

The given confidence interval : (3.8,4.8 )

Lower limit :                (1)

Upper limit =                  (2)

Eliminate equation (1) from (2) , we get

⇒ The estimated margin of error = 0.5 centimeter

Add (1) and (2) ,we get

⇒ The sample mean = 4.3 centimeters

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