Calculate the upper confidence interval of the true population mean from the following data set using a 90% confidence level: Observation 2 6 7 8 DATA 1.02 4.92 1.16 2.98 5.02 7.78 1.76 9.43 8.11 6.99 9.05 10 11 (Round to the nearest hundredth; place your answer in the box below)
Calculate the upper confidence interval of the true population mean from the following data set using a 90% confidence level: Observation 2 6 7 8 DATA 1.02 4.92 1.16 2.98 5.02 7.78 1.76 9.43 8.11 6.99 9.05 10 11 (Round to the nearest hundredth; place your answer in the box below)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:**Educational Website Content: Upper Confidence Interval Calculation**
In this exercise, you are tasked with calculating the upper confidence interval of the true population mean from the given data set using a 90% confidence level. Below is the data set provided:
| Observation | Data |
|-------------|-------|
| 1 | 1.02 |
| 2 | 4.92 |
| 3 | 1.16 |
| 4 | 2.98 |
| 5 | 5.02 |
| 6 | 7.78 |
| 7 | 5.76 |
| 8 | 7.76 |
| 9 | 9.43 |
| 10 | 8.11 |
| 11 | 9.05 |
**Instructions:**
1. Calculate the sample mean (average).
2. Determine the standard deviation of the sample.
3. Use the t-distribution to find the critical value for a 90% confidence level.
4. Calculate the margin of error.
5. Add the margin of error to the sample mean to find the upper confidence interval.
*Note: Round your final answer to the nearest hundredth.*
Once you have completed your calculations, place your answer in the designated space.
**Submission:**
Click on "Save and Submit" to record your response. Make sure to click "Save All Answers" to ensure that all your work is properly saved.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 8 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman