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.DataGuernseyJerseyHolstein4.354.653.215.236.63.665.64.973.944.834.264.174.695.24.474.615.623.564.625.543.383.744.774.15.115.093.574.75.443.595.545.783.834.35.23.694.65.413.715.214.943.554.945.173.814.724.43.95.145.75 5.554.67 5.51 5.93 Here is the correct null and alternative hypotheses.H0: μ1=μ2=μ3Ha: 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).SourceS.S.dfM.S.FTreatment Error Total Compute the p-value. (Round your answer to 4 decimal places.)p-value =

The one-way analysis of variance (ANOVA) is an extension of independent two-sample t-test is used in…

Answered: Background: The butterfat content of…

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

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 =

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