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)
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:
____________________________
Step by step
Solved in 2 steps