As part of an experiment to see how different types of soil cover would affect slicing tomato production,
Marist College students grew tomato plants under different soil cover conditions. Groups of three plants each had one
of the following treatments
• bare soil
• a commercial ground cover
• black plastic
• straw
• compost
All plants grew under the same conditions and were the same variety. Students recorded the weight (in grams) of
tomatoes produced by each of the n = 15 plants:
Bare: n1= 3 | Ground Cover: n2= 3 | Plastic: n3= 3 | Straw: n4= 3 | Compost: n5= 3 |
2,625 | 5,348 | 65,837 | 7,285 | 6,277 |
2,997 | 5,682 | 8,560 | 6,897 | 7,818 |
4,915 | 5,482 | 3,830 | 9,230 | 8,677 |
Table 13.4
Create the one-way ANOVA table.
To find:
The one-way anova table.
Answer to Problem 13.1TI
Sum of square | Mean Square | Degrees of freedom | F Statistics | |
Between/Factor | 36648560.93 | 9162140.233 | 4 | 4.481 |
Error/Residual | 20446726 | 2044672.6 | 10 | |
Total | 57095286.93 | 14 |
.
Explanation of Solution
Given:
Bare | Ground Cover | Plastic | Straw | Compost | |
2625 | 5348 | 6583 | 7285 | 6277 | |
2997 | 5682 | 8560 | 6897 | 7818 | |
4915 | 5482 | 3830 | 9230 | 8677 | |
SUM | 10537 | 16512 | 18973 | 23412 | 22772 |
Formula used:
Calculation:
Conclusion:
Sum of square | Mean Square | Degrees of freedom | F Statistics | |
Between/Factor | 36648560.93 | 9162140.233 | 4 | 4.481 |
Error/Residual | 20446726 | 2044672.6 | 10 | |
Total | 57095286.93 | 14 |
Want to see more full solutions like this?
Chapter 13 Solutions
Introductory Statistics
Additional Math Textbook Solutions
Calculus Volume 1
Elementary Statistics: Picturing the World (6th Edition)
Fundamentals of Statistics (5th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Essentials of Statistics (6th Edition)
Introductory Statistics (10th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning