Instruction: For all test of hypotheses, write Ho and Ha in words, specify test procedure, show computed test statistic with df (if applicable), p-value, decision and conclusion. c. If you are in this research team, what would you advise with regards to the use of the treatments? Show how did you come up with this advice by conducting hypothesis testing. Но: Problem: A completely randomized experiment was conducted to determine the effects of different layer diets containing a leaf meal at 0%, 5%, 10%, and 15%. Twenty 10-month old layers were randomly assigned to the four diets. The weight gain of the layers after five weeks of experiment На: Test Procedure: data: 0% data: 58 Shapiro-Wilk normality test W = 0.90646 p-value = 0.4466 Shapiro-Wilk normality test w = 0.91292 p-value - 0.4853 P-value: Decision: data: 10% data: 15% Shapiro-Wilk normality test w = 0.86098 p-value = 0.2318 Shapiro-Wilk normality test W= 0.96619 Conclusion: At alpha = 0.05, p-value = 0.8503 Bartlett test of homogeneity of variances weight by trt Bartlett's K-squared = 0.79609, df = 3, p-value = 0.8504 data: d. Suppose they conducted another set of experiment with increased sample size and saw that four diets have different mean weight gain. Table below showed summary of Tukey's HSD. Summarize the result of Tukey's HSD in Table 5 and provide synthesis Analysis of Variance Df Sum Sq Mean Sq F value 763.5 254.50 2.57 Pr (>F) 98.92 1.53e-10 *** trt 3 Table 4. Matrix of HSD's test result for the experiment Mean difference Residuals 16 41.2 p- value 0.1419 Treatments --- 5% - 0% 3.4 Kruskal-Wallis Rank Sum Test 10% - 0% 7.2 0.0017 data: weight by trt Kruskal-Wallis chi-squared = 17.871, df = 3, p-value = 0.0004677 15% - 0% 15.1 <0.0001 10% - 5% 3.8 0.8593 15% - 5% 11.7 <0.0001 15% - 10% 7.9 0.0021 a. Provide the following: - Response Variable(s): - Treatment and levels: - Experimental Unit: Table 5. Summary of HSD's result Treatment Mean SD Summary (in letter or in dot form) 15% 79.833 1.453 10% 71.935 0.627 5% 68.097 3.777 b. What is the most appropriate test to determine if the four diets resulted to different mean weight gain at 5% level of significance? Justify your 0% 64.739 8.366 answer. Synthesis: Test to be used: Justification (provide test of hypothesis if you must):
Instruction: For all test of hypotheses, write Ho and Ha in words, specify test procedure, show computed test statistic with df (if applicable), p-value, decision and conclusion. c. If you are in this research team, what would you advise with regards to the use of the treatments? Show how did you come up with this advice by conducting hypothesis testing. Но: Problem: A completely randomized experiment was conducted to determine the effects of different layer diets containing a leaf meal at 0%, 5%, 10%, and 15%. Twenty 10-month old layers were randomly assigned to the four diets. The weight gain of the layers after five weeks of experiment На: Test Procedure: data: 0% data: 58 Shapiro-Wilk normality test W = 0.90646 p-value = 0.4466 Shapiro-Wilk normality test w = 0.91292 p-value - 0.4853 P-value: Decision: data: 10% data: 15% Shapiro-Wilk normality test w = 0.86098 p-value = 0.2318 Shapiro-Wilk normality test W= 0.96619 Conclusion: At alpha = 0.05, p-value = 0.8503 Bartlett test of homogeneity of variances weight by trt Bartlett's K-squared = 0.79609, df = 3, p-value = 0.8504 data: d. Suppose they conducted another set of experiment with increased sample size and saw that four diets have different mean weight gain. Table below showed summary of Tukey's HSD. Summarize the result of Tukey's HSD in Table 5 and provide synthesis Analysis of Variance Df Sum Sq Mean Sq F value 763.5 254.50 2.57 Pr (>F) 98.92 1.53e-10 *** trt 3 Table 4. Matrix of HSD's test result for the experiment Mean difference Residuals 16 41.2 p- value 0.1419 Treatments --- 5% - 0% 3.4 Kruskal-Wallis Rank Sum Test 10% - 0% 7.2 0.0017 data: weight by trt Kruskal-Wallis chi-squared = 17.871, df = 3, p-value = 0.0004677 15% - 0% 15.1 <0.0001 10% - 5% 3.8 0.8593 15% - 5% 11.7 <0.0001 15% - 10% 7.9 0.0021 a. Provide the following: - Response Variable(s): - Treatment and levels: - Experimental Unit: Table 5. Summary of HSD's result Treatment Mean SD Summary (in letter or in dot form) 15% 79.833 1.453 10% 71.935 0.627 5% 68.097 3.777 b. What is the most appropriate test to determine if the four diets resulted to different mean weight gain at 5% level of significance? Justify your 0% 64.739 8.366 answer. Synthesis: Test to be used: Justification (provide test of hypothesis if you must):
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer C & D. Use the given data as reference.
Transcribed Image Text:THE LEAF PROBLEM
Instruction: For all test of hypotheses, write Ho and Ha in words, specify test
procedure, show computed test statistic with df (if applicable), p-value, decision
and conclusion.
c. If you are in this research team, what would you advise with regards to
the use of the treatments? Show how did you come up with this advice
by conducting hypothesis testing.
Но:
Problem: A completely randomized experiment was conducted to determine the
effects of different layer diets containing a leaf meal at 0%, 5%, 10%, and 15%.
Twenty 10-month old layers were randomly assigned to the four diets. The
weight gain of the layers after five weeks of experiment
На:
Test Procedure:
data:
0%
data:
58
Shapiro-Wilk normality test
w = 0.90646
Shapiro-Wilk normality test
w = 0.91292
P-value:
p-value = 0.4466
|data:
Shapiro-Wilk normality test
w = 0.86098
p-value = 0.4853
Decision:
10%
data:
15%
Shapiro-Wilk normality test
W= 0.96619
Conclusion: At alpha = 0.05,
p-value = 0.2318
p-value = 0.8503
Bartlett test of homogeneity of variances
weight by trt
Bartlett's K-squared = 0.79609, df = 3, p-value = 0.8504
data:
d. Suppose they conducted another set of experiment with increased
sample size and saw that four diets have different mean weight gain.
Table below showed summary of Tukey's HSD. Summarize the result of
Tukey's HSD in Table 5 and provide synthesis
Analysis of Variance
Df Sum Sq Mean Sq F value
763.5 254.
Pr (>F)
98.92 1.53e-10 ***
trt
3
Residuals
16
41.2
2.57
Table 4. Matrix of HSD's test result for the experiment
Treatments
Mean difference
p- value
---
5% - 0%
3.4
0.1419
Kruskal-Wallis Rank Sum Test
10% - 0%
15% - 0%
7.2
0.0017
weight by trt
Kruskal-Wallis chi-squared = 17.871, df = 3, p-value = 0.0004677
data:
15.1
<0.0001
10% - 5%
3.8
0.8593
15% - 5%
11.7
<0.0001
15% - 10%
7.9
0.0021
a. Provide the following:
- Response Variable(s):
- Treatment and levels:
Table 5. Summary of HSD's result
| SD
Treatment
Mean
Summary (in letter or in dot form)
- Experimental Unit:
15%
79.833
1.453
10%
71.935
0.627
5%
68.097
3.777
b. What is the most appropriate test to determine if the four diets resulted
to different mean weight gain at 5% level of significance? Justify your
0%
64.739
8.366
answer.
Synthesis:
Test to be used:
Justification (provide test of hypothesis if you must):
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