**Provide an appropriate response.****Determine the point estimate of the population mean and margin of error for the confidence interval with lower bound 14 and upper bound: 26.**1. \( \overline{x} = 20, E = 12 \)2. \( \overline{x} = 26, E = 6 \)3. \( \overline{x} = 20, E = 6 \)4. \( \overline{x} = 14, E = 12 \)Explanation:Given the confidence interval [14, 26], we want to determine the point estimate (sample mean \( \overline{x} \)) and the margin of error (E).The point estimate \( \overline{x} \) is the midpoint of the confidence interval, which can be found using the formula:\[ \overline{x} = \frac{\text{Lower bound} + \text{Upper bound}}{2} \]\[ \overline{x} = \frac{14 + 26}{2} = \frac{40}{2} = 20 \]The margin of error \( E \) is the distance from the point estimate to either end of the interval:\[ E = \text{Upper bound} - \overline{x} \]\[ E = 26 - 20 = 6 \]So, the correct answer is:\[ \overline{x} = 20, E = 6 \]Thus, the correct answer choice is 3:\[ \overline{x} = 20, E = 6 \]

The lower bound of the confidence interval is 14 and the upper bound of the confidence interval is…

Answered: Determine the point estimate of the…

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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