Chemist Ellen has developed four different types of fertilizers for trees. She used the fertilizer to water trees, six trees for each type of fertilizer, for a period of time and then measured how much the trees had grown and recorded. Ellen decided to use a variance analysis to check whether the average growth of the trees differs according to fertilizer and started filling in the following variance sum table but did not manage to complete:   Fervic sum Degrees Average fervic sum Between groups 212     Within groups       Whole 325     Ellen confirmed that the distribution within each group was similar. Ellen used α = 0.05. a) Complete the filler fervic table above. b) Examine with an appropriate hypothesis test whether there is a difference in the average height increase of the trees depending on which fertilizer was used. Show all six steps.

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Chemist Ellen has developed four different types of fertilizers for trees. She used the fertilizer to water trees, six trees for each type of fertilizer, for a period of time and then measured how much the trees had grown and recorded. Ellen decided to use a variance analysis to check whether the average growth of the trees differs according to fertilizer and started filling in the following variance sum table but did not manage to complete:

  Fervic sum Degrees Average fervic sum
Between groups 212    
Within groups      
Whole 325    

Ellen confirmed that the distribution within each group was similar. Ellen used α = 0.05.

a) Complete the filler fervic table above.

b) Examine with an appropriate hypothesis test whether there is a difference in the average height increase of the trees depending on which fertilizer was used. Show all six steps.

 

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