**Margin of Error and Sample Mean Calculation**To understand how to use a confidence interval to calculate the estimated margin of error and the sample mean, we can examine the following example:A biologist reports a confidence interval of (3.1, 3.7) when estimating the mean height (in centimeters) of a sample of seedlings.1. **Finding the Estimated Margin of Error:** The confidence interval is given as (3.1, 3.7). The margin of error (E) is calculated as half the width of the confidence interval: \[ E = \frac{(3.7 - 3.1)}{2} = 0.3 \] Therefore, the estimated margin of error is **0.3 cm**.2. **Finding the Sample Mean:** The sample mean is the midpoint of the confidence interval, calculated as follows: \[ \text{Sample Mean} = \frac{(3.1 + 3.7)}{2} = 3.4 \] Thus, the sample mean is **3.4 cm**.These calculations help in understanding the accuracy and central tendency of the data gathered from the seedlings.

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Description: **Margin of Error and Sample Mean Calculation**To understand how to use a confidence interval to calculate the estimated margin of error and the sample mean, we can examine the following example:A biologist reports a confidence interval of (3.1, 3.7

Given confidence interval is (3.1, 3.7) We have to find the Margin of error and mean. We know that…

Math

Statistics

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of (3.1,3.7) when estimating the mean height (in centimeters) of a sample of seedlings. The estimated margin of error is

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of (3.1,3.7) when estimating the mean height (in centimeters) of a sample of seedlings. The estimated margin of error is

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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