Chicken diet and weight: Compare the effects of six types of feed: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the mean weights of chicks on different diets. Sum Sq Mean Sq F value Pr(>F) df feed 231129.16 46225.83 15.36 0.0000 residuals 65 195556.02 3008.55 If we conducted a hypothesis test to determine if these data provide convincing evidence that the mean weight of chicks varies across some (or all) groups we would find a significant difference between average weight of chicks between at least two of the diets using an overall a = 0.05. Mean SD casein 323.58 64.43 12 horsebean 160.2 38.63 10 linseed 218.75 52.24 12 meatmeal 276.91 64.9 11 soybean sunflower 246.43 54.13 14 328.92 48.84 12 Now use the summary above to test that meatmeal and sunflower are significantly different. Fedf = (Round to three decimal places.) The test statistic for this pairwise comparison is: t = (Round to three decimal places.) The p-value - (Round to three decimal places.) Interpret the result of the pairwise comparison in the context of the study: O There is enough evidence to show that meatmeal and sunflower have a different effect on the mean weights of chicks O There is not enough evidence to show that meatmeal and sunflower have a different effect on the mean weights of chicks
Chicken diet and weight: Compare the effects of six types of feed: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the mean weights of chicks on different diets. Sum Sq Mean Sq F value Pr(>F) df feed 231129.16 46225.83 15.36 0.0000 residuals 65 195556.02 3008.55 If we conducted a hypothesis test to determine if these data provide convincing evidence that the mean weight of chicks varies across some (or all) groups we would find a significant difference between average weight of chicks between at least two of the diets using an overall a = 0.05. Mean SD casein 323.58 64.43 12 horsebean 160.2 38.63 10 linseed 218.75 52.24 12 meatmeal 276.91 64.9 11 soybean sunflower 246.43 54.13 14 328.92 48.84 12 Now use the summary above to test that meatmeal and sunflower are significantly different. Fedf = (Round to three decimal places.) The test statistic for this pairwise comparison is: t = (Round to three decimal places.) The p-value - (Round to three decimal places.) Interpret the result of the pairwise comparison in the context of the study: O There is enough evidence to show that meatmeal and sunflower have a different effect on the mean weights of chicks O There is not enough evidence to show that meatmeal and sunflower have a different effect on the mean weights of chicks
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Understanding the Effects of Chicken Feed on Weight**
This section analyzes the effects of six types of chicken feed: casein, horsebean, linseed, meatmeal, soybean, and sunflower. The ANOVA output below helps to determine if there are any significant differences in the mean weights of chicks based on the type of feed.
**ANOVA Results:**
- **df (degrees of freedom):**
- Feed: 5
- Residuals: 65
- **Sum Sq (Sum of Squares):**
- Feed: 231129.16
- Residuals: 195556.02
- **Mean Sq (Mean Square):**
- Feed: 46225.83
- Residuals: 3008.55
- **F Value:** 15.36
- **Pr(>F):** 0.0000
The results suggest a significant difference in the mean weights of chicks across different feeds (p < 0.05).
**Feed Types Summary:**
- **Casein:**
- Mean: 323.58
- SD: 64.43
- n: 12
- **Horsebean:**
- Mean: 160.20
- SD: 38.63
- n: 10
- **Linseed:**
- Mean: 218.75
- SD: 52.42
- n: 12
- **Meatmeal:**
- Mean: 276.91
- SD: 64.90
- n: 11
- **Soybean:**
- Mean: 246.43
- SD: 54.13
- n: 14
- **Sunflower:**
- Mean: 328.92
- SD: 48.84
- n: 12
**Pairwise Comparison Between Meatmeal and Sunflower**
Using the summary, test whether meatmeal and sunflower feeds cause significant weight differences in chicks.
- **Fcd =** _____ (Round to three decimal places.)
- **Test Statistic (t-value) =** _____ (Round to three decimal places.)
- **P-value =** _____ (Round to three decimal places.)
**Interpretation:**
Choose an interpretation based on the statistical analysis:
- There is sufficient evidence to conclude that
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