Question

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square $F$ $p$-value Treatments 1200 Error Total 1800 At a 0.05 level of significance, is there a significant difference between the treatments? The $p$-value is - Select your answer - What is your conclusion? - Select your answer - 

          In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0".
Source of Variation Sum of Squares Degrees of Freedom Mean Square $F$ $p$-value
Treatments 1200 
Error 
Total 1800 
At a 0.05 level of significance, is there a significant difference between the treatments?
The $p$-value is - Select your answer -
What is your conclusion?
- Select your answer -
Show more…
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1200 Error Total 1800 At a 0.05 level of significance, is there a significant difference between the treatments? The p-value is - Select your answer - What is your conclusion? - Select your answer -

Added by Jillian M.

Close

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Table: [Source of Variation, Sum of Squares, Degrees of Freedom, Mean Square, F-value] [Treatments, 1200, , ] [Error, , , ] [Total, 1800] At a 0.05 level of significance, is there a significant difference between the treatments? The p-value is What is your conclusion? In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment.
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn Kathleen Carty
Ivan Kochetkov verified

Madhur L and 71 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs
*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.
*

Recommended Videos

-
in-a-completely-randomized-design-12-experimental-units-were-used-for-the-first-treatment-15-for-the-second-treatment-and-20-for-the-third-treatment-complete-the-following-analysis-of-varian-22141

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,100 Error Total 1,500 At a .05 level of significance, is there a significant difference between the treatments? The p-value is Select What is your conclusion? Select

Madhur L.
completely-randomized-design_-12-experimental-units-were-used-for-the-first-treatment-15-for-the-second-treatment-and-20-for-the-third-treatment-complete-the-following-analysis-of-variance-t-75498

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value Treatments | 1,300 Error Total | 1,900 At a .05 level of significance, is there a significant difference between the treatments? The p-value is [Select] What is your conclusion? [Select]

Jacob F.
in-completely-randomized-design-12-experimental-units-were-used-for-the-first-treatment-15-for-the-second-treatment-and-20-for-the-third-treatment_-complete-the-following-analysis-of-varianc-00837

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,400 2 700 Error 44 Total 2,100 At a .05 level of significance, is there a significant difference between the treatments? The p-value is - Select your answer - What is your conclusion? - Select your answer -

Paul A.
*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,106 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,747 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,972 solutions
*

Transcript

-
00:01 Hello students, in the question, they given that in a completely randomized design, 12 experimental units were used.
00:12 Used for their first treatment, 15 for their second treatment and 20 for their third treatment and their sum of squares, that is sum of squares or treatments which is ssr is equal to 1100 and the total sum of square that is sum of square for total which is denoted as css is equal to 1500.
01:03 Now we need to find the sum of square of error, sum of square of error which is equal to css minus ssr.
01:18 Now substitute the known values, we get our sse is equal to 1500 minus 1100, we get 400.
01:30 Then the degrees of freedom to be calculated as the size of first treatment n1 is 12, n2 is equal to 15 and n3 is equal to 20.
01:42 So the total n is equal to n1 plus n2 plus n3 which is 12 plus 15 plus 20, we get 47.
01:53 Then the degrees of freedom of treatment which is k minus 1, there are 3 treatments, so it is 2.
02:05 Then the degrees of freedom of error is equal to n minus k which is 47 minus 3 is equal to 44.
02:19 Then the degrees of freedom of total that is 2 plus 44 is equal to 46.
02:28 Now we need to find the sum of square that is mean sum of square.
02:34 Mean square for treatment is equal to ssr divided by the degrees of freedom of treatment...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade

Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever