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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbff43673-f06b-43ca-b409-46eb420ace6b%2F7fe18f85-3eaa-4223-a9e1-394210ffc00c%2Fty7lyv8_processed.png&w=3840&q=75)
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%
Step by step
Solved in 3 steps
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