Exhibit 13-21 Source of Variation Between Groups (Treatment) 6,000.0 Within Groups (Error) Total OSI 29 Sum of Squares 32 30 Degrees of Freedom 5 24 29 Mean Square Refer to Exhibit 13-21. The sample size in this problem is? (Hint: Use the fact that the total degrees of freedom- n-1) 1,200 288 F

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
100%
**Exhibit 13-21**

| Source of Variation     | Sum of Squares | Degrees of Freedom | Mean Square |
|-------------------------|----------------|--------------------|-------------|
| Between Groups (Treatment) | 6,000.0        | 5                  | 1,200       |
| Within Groups (Error)      | 24             | 288                |             |
| **Total**                     |                | 29                 |             |

Refer to Exhibit 13-21. The sample size in this problem is? (Hint: Use the fact that the total degrees of freedom = n-1)  
- ○ 51  
- ○ 29  
- ○ 32  
- ○ 30  

**Explanation:**

In this table, the analysis of variance (ANOVA) is presented. It includes the following components:

1. **Between Groups (Treatment):** This measures the variation attributed to the differences between groups. It has a Sum of Squares of 6,000.0, with 5 degrees of freedom, leading to a Mean Square of 1,200.

2. **Within Groups (Error):** This measures the variation within each group. It has a sum of squares of 24 and a total of 288 degrees of freedom.

3. **Total:** The combined degrees of freedom across the entire analysis is 29.

**Calculating Sample Size:**

To find the sample size (n), remember that the total degrees of freedom is calculated as n-1. Given that the total degrees of freedom is 29, the sample size will be \( n = 29 + 1 = 30 \). Therefore, the correct answer is 30.
Transcribed Image Text:**Exhibit 13-21** | Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | |-------------------------|----------------|--------------------|-------------| | Between Groups (Treatment) | 6,000.0 | 5 | 1,200 | | Within Groups (Error) | 24 | 288 | | | **Total** | | 29 | | Refer to Exhibit 13-21. The sample size in this problem is? (Hint: Use the fact that the total degrees of freedom = n-1) - ○ 51 - ○ 29 - ○ 32 - ○ 30 **Explanation:** In this table, the analysis of variance (ANOVA) is presented. It includes the following components: 1. **Between Groups (Treatment):** This measures the variation attributed to the differences between groups. It has a Sum of Squares of 6,000.0, with 5 degrees of freedom, leading to a Mean Square of 1,200. 2. **Within Groups (Error):** This measures the variation within each group. It has a sum of squares of 24 and a total of 288 degrees of freedom. 3. **Total:** The combined degrees of freedom across the entire analysis is 29. **Calculating Sample Size:** To find the sample size (n), remember that the total degrees of freedom is calculated as n-1. Given that the total degrees of freedom is 29, the sample size will be \( n = 29 + 1 = 30 \). Therefore, the correct answer is 30.
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 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