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. T.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Answer letter a, use image two as a guide to determine the test to be use and provide justification
1. CHICKEN FEED ADDITIVE STUDY
Instruction: For all test of hypotheses, write Ho and Ha in words, specify test
procedure, show computed test statistic with gf (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.
a. 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):
Transcribed Image Text:1. CHICKEN FEED ADDITIVE STUDY Instruction: For all test of hypotheses, write Ho and Ha in words, specify test procedure, show computed test statistic with gf (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. a. 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):
1. CHICKEN FEED ADDITIVE STUDY
Wilk-Shapiro Test for Normality
data:
A1
data:
A2
data:
АЗ
W = 0.98999
W = 0.87485
p-value = 0.2866
W = 0.97079
p-value = 0.9797
p-value = 0.8803
Bartlett test of homogeneity of variances
cortisol by additive
= 0.39956, df = 2, p-value
data:
Bartlett's K-squared
= 0.8189
Analysis of Variance
Pr(>F)
Df Sum Sq Mean Sq F value
2.700
additive
1.3501
14.24 0.000678 ***
Residuals
12
1.137
0.0948
Signif. codes:
0 '*** ! 0.001 '** !
0.01 '*' 0.05 '.' 0.1 ' ' 1
Kruskal-Wallis Rank Sum Test
data:
cortisol by additive
Kruskal-Wallis chi-squared
9.42, df = 2, p-value = 0.009005
Transcribed Image Text:1. CHICKEN FEED ADDITIVE STUDY Wilk-Shapiro Test for Normality data: A1 data: A2 data: АЗ W = 0.98999 W = 0.87485 p-value = 0.2866 W = 0.97079 p-value = 0.9797 p-value = 0.8803 Bartlett test of homogeneity of variances cortisol by additive = 0.39956, df = 2, p-value data: Bartlett's K-squared = 0.8189 Analysis of Variance Pr(>F) Df Sum Sq Mean Sq F value 2.700 additive 1.3501 14.24 0.000678 *** Residuals 12 1.137 0.0948 Signif. codes: 0 '*** ! 0.001 '** ! 0.01 '*' 0.05 '.' 0.1 ' ' 1 Kruskal-Wallis Rank Sum Test data: cortisol by additive Kruskal-Wallis chi-squared 9.42, df = 2, p-value = 0.009005
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