A large orchard owner in the state of Washington is interested in determining whether the mean number of bushels of peaches per acre is the same or different depending on the type of tree that is used.He also thinks that production may be affected by the type of fertilizer that is used.To test,he has set up a test in which a one-acre plot of peach trees with a combination each of 5 varieties and 3 fertilizer types are studied.The following data reflect the number of bushels of peaches on each acre plot. Assuming that the hypothesis tests will be conducted using an alpha equal 0.05 level,which of the following is true?
A)The total sum of squares is approximately 4,570,900.
B)The grower was justified in controlling for the fertilizer type since the test shows that blocking was effective.
C)Based on the data,the grower can conclude that there is a difference in mean production of peaches across the different types of tree.
D)A,B and C are all true.

Question

A large orchard owner in the state of Washington is interested in determining whether the mean number of bushels of peaches per acre is the same or different depending on the type of tree that is used.He also thinks that production may be affected by the type of fertilizer that is used.To test,he has set up a test in which a one-acre plot of peach trees with a combination each of 5 varieties and 3 fertilizer types are studied.The following data reflect the number of bushels of peaches on each acre plot.  Assuming that the hypothesis tests will be conducted using an alpha equal 0.05 level,which of the following is true?
A)The total sum of squares is approximately 4,570,900. 
B)The grower was justified in controlling for the fertilizer type since the test shows that blocking was effective. 
C)Based on the data,the grower can conclude that there is a difference in mean production of peaches across the different types of tree. 
D)A,B and C are all true.

Quizplus · Accepted Answer

The total sum of squares is not provided in the information given, so option A cannot be determined. However, since the grower is interested in determining whether the mean number of bushels of peaches per acre is the same or different depending on the type of tree and fertilizer used, it was justified to control for the fertilizer type in the test. Therefore, option B is true.

There is no information provided to suggest that the grower can conclude that there is a difference in mean production of peaches across the different types of tree. Hence, option C is false.

As options A and C are not completely true, option D is incorrect.

A Large Orchard Owner in the State of Washington Is