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...

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

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 thep-value. (Round your answer to 4 decimal places.)
   
   
   p-value =