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Background: The butterfat content of random samples of Guernsey, Holstein and Jersey cows are provided below. Each data value represents the percentage butterfat. Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant. Data Guernsey Jersey Holstein 4.35 4.65 3.21 5.23 6.6 3.66 5.6 4.97 3.94 4.83 4.26 4.17 4.69 5.2 4.47 4.61 5.62 3.56 4.62 5.54 3.38 3.74 4.77 4.1 5.11 5.09 3.57 4.7 5.44 3.59 5.54 5.78 3.83 4.3 5.2 3.69 4.6 5.41 3.71 5.21 4.94 3.55 4.94 5.17 3.81 4.72 4.4 3.9 5.14 5.75   5.55 4.67   5.51     5.93     Here is the correct null and alternative hypotheses. H0: μ1=μ2=μ3 Ha: μ1,μ2,μ3 are not all equal. Compute the test statistic. Compute the treatment sum of squares (SSTr) and the error sum of squares (SSE) and use them to complete the following ANOVA table. (Round your answers to 4 decimal places). Source S.S. df M.S. F Treatment         Error         Total         Compute the p-value. (Round your answer to 4 decimal places.) p-value =

Background: The butterfat content of random samples of Guernsey, Holstein and Jersey cows are provided below. Each data value represents the percentage butterfat. Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant. Data Guernsey Jersey Holstein 4.35 4.65 3.21 5.23 6.6 3.66 5.6 4.97 3.94 4.83 4.26 4.17 4.69 5.2 4.47 4.61 5.62 3.56 4.62 5.54 3.38 3.74 4.77 4.1 5.11 5.09 3.57 4.7 5.44 3.59 5.54 5.78 3.83 4.3 5.2 3.69 4.6 5.41 3.71 5.21 4.94 3.55 4.94 5.17 3.81 4.72 4.4 3.9 5.14 5.75   5.55 4.67   5.51     5.93     Here is the correct null and alternative hypotheses. H0: μ1=μ2=μ3 Ha: μ1,μ2,μ3 are not all equal. Compute the test statistic. Compute the treatment sum of squares (SSTr) and the error sum of squares (SSE) and use them to complete the following ANOVA table. (Round your answers to 4 decimal places). Source S.S. df M.S. F Treatment         Error         Total         Compute the p-value. (Round your answer to 4 decimal places.) p-value =

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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Background: The butterfat content of random samples of Guernsey, Holstein and Jersey cows are provided below. Each data value represents the percentage butterfat.

Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant.
Data


Guernsey Jersey Holstein
4.35 4.65 3.21
5.23 6.6 3.66
5.6 4.97 3.94
4.83 4.26 4.17
4.69 5.2 4.47
4.61 5.62 3.56
4.62 5.54 3.38
3.74 4.77 4.1
5.11 5.09 3.57
4.7 5.44 3.59
5.54 5.78 3.83
4.3 5.2 3.69
4.6 5.41 3.71
5.21 4.94 3.55
4.94 5.17 3.81
4.72 4.4 3.9
5.14 5.75  
5.55 4.67  
5.51    
5.93    



  1. Here is the correct null and alternative hypotheses.
    • H0: μ1=μ2=μ3
      Ha: μ1,μ2,μ3 are not all equal.
  2. Compute the test statistic.

    Compute the treatment sum of squares (SSTr) and the error sum of squares (SSE) and use them to complete the following ANOVA table. (Round your answers to 4 decimal places).

    Source S.S. df M.S. F
    Treatment        
    Error        
    Total        
  3. Compute the p-value. (Round your answer to 4 decimal places.)

    p-value =
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