**Finding the Sample Mean and Margin of Error from a Confidence Interval**To determine the sample mean and the margin of error from a given confidence interval, use the interval values provided.**Given Confidence Interval:**- Lower limit: 13.4- Upper limit: 21.6**Task:**- Find the sample mean.- Calculate the margin of error.**Steps:****1. Calculate the Sample Mean:**The sample mean is the midpoint of the confidence interval. It is calculated as follows:\[ \text{Sample Mean} = \frac{\text{Lower limit} + \text{Upper limit}}{2} \]\[ \text{Sample Mean} = \frac{13.4 + 21.6}{2} \]\[ \text{Sample Mean} = \frac{35}{2} \]\[ \text{Sample Mean} = 17.5 \]**2. Calculate the Margin of Error:**The margin of error is half the width of the confidence interval. It is calculated as follows:\[ \text{Margin of Error} = \frac{\text{Upper limit} - \text{Lower limit}}{2} \]\[ \text{Margin of Error} = \frac{21.6 - 13.4}{2} \]\[ \text{Margin of Error} = \frac{8.2}{2} \]\[ \text{Margin of Error} = 4.1 \]**Answers:**- The sample mean is **17.5**.- The margin of error is **4.1**. Students are prompted to enter the sample mean as an integer or a decimal, ensuring their understanding of the calculations involved.

Name: **Finding the Sample Mean and Margin of Error from a Confidence Inter
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: **Finding the Sample Mean and Margin of Error from a Confidence Interval**To determine the sample mean and the margin of error from a given confidence interval, use the interval values provided.**Given Confidence Interval:**- Lower limit: 13.4- Uppe

Given: Lower limit = 13.4 Upper limit = 21.6 The point estimate can be calculated as: Point estimate…

Answered: Use the given confidence interval to…

Math

Statistics

Use the given confidence interval to find the margin of error and the (13.4,21.6) The sample mean is (Type an integer or a decimal.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Construct a confidence interval for the mean of the paired differences for the two populations with the following information. Round the endpoints of the interval to three decimal places, if necessary. n=37n=37, d¯=2.191d¯=2.191, α=0.1α=0.1, sd=0.411sd=0.411
Use the given confidence interval to find the margin of error and the sample proportion. (0.775,0.799) E= (Type an integer or a decimal.)
The previous mean amount of time spent using the lab computer was 63minutes. Find a 95% confidence interval for the true mean. Make a conclusion about the claim. If there are outliers, find intervals with and without the outliers present.
Use the given confidence interval to find the margin of error and the sample mean. (13.3,22.9) The sample mean is. (Type an integer or a decimal.)
Use the given confidence interval to find the margin of error and the sample proportion. (0.640,0.670) E= (Type an integer or a decimal.)
Use the given confidence interval to find the margin of error and the sample proportion. (0.619,0.647) E = (Type an integer or a decimal.)
Use the given confidence interval to find the margin of error and the sample mean. (68.3,80.9) THe sample mean is? The margin of error is?
Use the given confidence interval to find the margin of error and the sample proportion. (0.708,0.736) E = (Type an integer or a decimal.) (Type an integer or a decimal.)
Use the given confidence interval to find the margin of error and the sample mean. (13.0,20.4) The sample mean is. (Type an integer or a decimal.)
Use the given confidence interval to find the margin of error and the sample proportion. (0.675,0.703) E= (Type an integer or a decimal.) p= (Type an integer or a decimal.)
Use the given confidence interval to find the margin of error and the sample proportion. (0.774,0.800) E = (Type an integer or a decimal.)
Use the given confidence interval to find the margin of error and the sample proportion. (0.591,0.621) E= (Type an integer or a decimal.) p=(Type an integer or a decimal.)