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a. Provide the following: - Response Variable(s): - Treatment and levels: - Experimental Unit: 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 answer. Test to be used: Justification (provide test of hypothesis if you must):

a. Provide the following: - Response Variable(s): - Treatment and levels: - Experimental Unit: 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 answer. Test to be used: Justification (provide test of hypothesis if you must):

MATLAB: An Introduction with Applications
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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Answer A & B. Use the given data as reference
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):
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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