Question

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of when estimating the mean height​ (in centimeters) of a sample of seedlings. The estimated margin of error is nothing. The sample mean is nothing.

Answer 1

Complete Question

A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?

Answer:

The  margin of error is  $E = 0.7$

The  sample mean is  $\= x = 4.2$

Step-by-step explanation:

from the question we are told that

   The  upper limit is  $k = 4.9$

    The  lower limit is  $r = 3.5$

Generally the margin of error is mathematically represented as

      $E = \frac{k - r}{ 2}$

      $E = \frac{ 4.9 - 3.5 }{2}$

     $E = 0.7$

Generally the sample mean is mathematically evaluated as

        $\= x = k - E$

=>    $\= x = 4.9 - 0.7$

=>    $\= x = 4.2$