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
icon
Related questions
Question
**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.
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
steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman