nstruction: 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.A study was conducted to determine the effect of different types of feed additives(A1, A2, A3) in the cortisol level (ng/ml) among chickens. Fifteen chickens were randomly assigned to the three feed additives. The cortisol level (ng/ml) of the chickens was then measured after four weeks. The data can be found in the worksheet “cortisol_level” of excel file  “exer3_data.xlsx”. R outputs can be found in the file “exer3_outputs.pdf” 1. Provide the following:  - Response Variable: - Treatment and levels: - Experimental Unit: 2. What is the most appropriate test to determine if the three feed additives resulted to different mean cortisol level of chickens at 5% level of significance?  Justify your answer. Test to be used: ____________________ Justification (provide test of hypothesis if you must)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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CHICKEN FEED ADDITIVE STUDY
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.A study was conducted to determine the effect of different types of feed additives(A1, A2, A3) in the cortisol level (ng/ml) among chickens. Fifteen chickens were randomly assigned to the three feed additives. The cortisol level (ng/ml) of the chickens was then measured after four weeks.
The data can be found in the worksheet “cortisol_level” of excel file 
“exer3_data.xlsx”. R outputs can be found in the file “exer3_outputs.pdf”

1. Provide the following: 
- Response Variable:
- Treatment and levels:
- Experimental Unit:

2. What is the most appropriate test to determine if the three feed additives
resulted to different mean cortisol level of chickens at 5% level of significance? 
Justify your answer.
Test to be used: ____________________
Justification (provide test of hypothesis if you must)

3. 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. 
Ho (in words):
Ha (in words):
Test Procedure: _________________
p-value: ______________
Decision: __________________
Conclusion: At alpha = 0.05,
______________________________________________________________
_____________________________________________________________

4. Suppose they conducted another set of experiment with increased sample size and saw that the three feed additives have different mean cortisol level. Table below showed summary of Tukey’s HSD. Summarize the result of Tukey’s HSD in Table 2 and provide synthesis. 
Table 1. Matrix of HSD’s test result for the experiment

Treatments Mean difference p-value
A2-A1 -0.8960 0.00154
A3-A1 -0.9040 0.00129
A3-A2 -0.0080 0.99907

Table 2. Summary of HSD’s result

Treatment Mean SD Summary (in letter or in dot form)
A1 2.572 0.2546959  
A2 1.676 0.3041874  
A3 1.668 0.3562583  

Synthesis:

____________________________

1. CHICKEN FEED ADDITIVE STUDY
data: Al
W = 0.98999
p-value
Wilk-Shapiro Test for Normality
data: A2
W = 0.87485
p-value = 0.2866
data: A3
W = 0.97079
p-value
0.9797
0.8803
%3!
Bartlett test of homogeneity of variances
cortisol by additive
data:
Bartlett's K-squared = 0.39956, df = 2, p-value
0.8189
Analysis of Variance
Df Sum Sq Mean Sq F value
Pr(>F)
14.24 0.000678 ***
additive
2.700 1.3501
Residuals
1.137 0.0948
---
Signif. codes:
O * ***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 '
Kruskal-Wallis Rank Sum Test
cortisol by additive
9.42, df = 2, p-value
data:
Kruskal-Wallis chi-squared
= 0.009005
A22
Transcribed Image Text:1. CHICKEN FEED ADDITIVE STUDY data: Al W = 0.98999 p-value Wilk-Shapiro Test for Normality data: A2 W = 0.87485 p-value = 0.2866 data: A3 W = 0.97079 p-value 0.9797 0.8803 %3! Bartlett test of homogeneity of variances cortisol by additive data: Bartlett's K-squared = 0.39956, df = 2, p-value 0.8189 Analysis of Variance Df Sum Sq Mean Sq F value Pr(>F) 14.24 0.000678 *** additive 2.700 1.3501 Residuals 1.137 0.0948 --- Signif. codes: O * ***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' Kruskal-Wallis Rank Sum Test cortisol by additive 9.42, df = 2, p-value data: Kruskal-Wallis chi-squared = 0.009005 A22
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