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to terpret the interval that you have constructed. O In repeated sampling, 95% of all intervals constructed in this manner will enclose the population mean. O In repeated sampling, 5% of all intervals constructed in this manner will enclose the population mean. O There is a 5% chance that an individual sample mean will fall within the interval. O There is a 95% chance that an individual sample mean will fall within the interval. O 95% of all values will fall within the interval.

to terpret the interval that you have constructed. O In repeated sampling, 95% of all intervals constructed in this manner will enclose the population mean. O In repeated sampling, 5% of all intervals constructed in this manner will enclose the population mean. O There is a 5% chance that an individual sample mean will fall within the interval. O There is a 95% chance that an individual sample mean will fall within the interval. O 95% of all values will fall within the interval.

MATLAB: An Introduction with Applications
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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**Confidence Interval Construction for Educational Purposes** --- **Objective:** Find the necessary confidence interval for a population mean (\( \mu \)) given the values below. Ensure to round answers to two decimal places. --- **Given Data:** - Confidence Level: 95% - Sample Size (\( n \)): 64 - Sample Mean (\( \overline{x} \)): 13.2 - Sample Variance (\( s^2 \)): 3.32 --- **Confidence Interval Estimate:** Calculate the interval from: \[ \_\_\_\_\_\_\_ \text{ to } \_\_\_\_\_\_\_ \] --- **Interval Interpretation:** Choose the correct interpretation: - ○ In repeated sampling, 95% of all intervals constructed in this manner will enclose the population mean. - ○ In repeated sampling, 5% of all intervals constructed in this manner will enclose the population mean. - ○ There is a 5% chance that an individual sample mean will fall within the interval. - ○ There is a 95% chance that an individual sample mean will fall within the interval. - ○ 95% of all values will fall within the interval. --- This educational content assists in understanding the method and interpretation of confidence intervals in statistics.
Transcribed Image Text:**Confidence Interval Construction for Educational Purposes** --- **Objective:** Find the necessary confidence interval for a population mean (\( \mu \)) given the values below. Ensure to round answers to two decimal places. --- **Given Data:** - Confidence Level: 95% - Sample Size (\( n \)): 64 - Sample Mean (\( \overline{x} \)): 13.2 - Sample Variance (\( s^2 \)): 3.32 --- **Confidence Interval Estimate:** Calculate the interval from: \[ \_\_\_\_\_\_\_ \text{ to } \_\_\_\_\_\_\_ \] --- **Interval Interpretation:** Choose the correct interpretation: - ○ In repeated sampling, 95% of all intervals constructed in this manner will enclose the population mean. - ○ In repeated sampling, 5% of all intervals constructed in this manner will enclose the population mean. - ○ There is a 5% chance that an individual sample mean will fall within the interval. - ○ There is a 95% chance that an individual sample mean will fall within the interval. - ○ 95% of all values will fall within the interval. --- This educational content assists in understanding the method and interpretation of confidence intervals in statistics.
Expert Solution
Step 1

It is given that 

n = 64, X̄ = 13.2

s2 = 3.32 => s = 1.822

Confidence interval = 95%

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