SOLUTION: A study was carried out to investigate the effect of five particular mixes of soil and fertilizer, labelled A to E, on the fruiting of Capiscum (pepper) plants. The plants were to
Algebra.Com
Question 702808: A study was carried out to investigate the effect of five particular mixes of soil and fertilizer, labelled A to E, on the fruiting of Capiscum (pepper) plants. The plants were to be classified according to how much fruit they produced, as follows:
Group 1: No fruit
Group 2: Some fruit
Group 3: Plentiful fruit
A large number of plants were grown, and the number in each category of soil/fertilizer type and fruit production were counted in one growing season. Plants which did not survive were not counted. This data is presented in the following table.
A B C D E
G1 10 12 10 19 15
G2 12 10 14 22 11
G3 12 15 18 20 11
Carry out an appropriate statistical test to investigate whether or not there is a link between the type of fertilizer/soil and the fruit production.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A large number of plants were grown, and the number in each category of soil/fertilizer type and fruit production were counted in one growing season. Plants which did not survive were not counted. This data is presented in the following table.
A B C D E
G1 10 12 10 19 15
G2 12 10 14 22 11
G3 12 15 18 20 11
Carry out an appropriate statistical test to investigate whether or not there is a link between the type of fertilizer/soil and the fruit production.
-----
Ho: row and column factors are independent
Ha: they are not independent
------------------------------
I ran an ANOVA on the 3x4 set and got the following results:
test statistic: F = 0.3004
p-value: 0.75
------
Conclusion: Since the p-value is greater than 5%, fail to reject
Ho at the 5% level of significance.
In English: The fertilizer type and fruit production are independent.
================
Cheers,
Stan H.
================
RELATED QUESTIONS
Soil contains a wide variety of nutrients, including nitrogen, phosphorus, potassium,... (answered by ikleyn)
When water flows across farm land, some of the soil is washed away, resulting in erosion. (answered by stanbon)
An exeriment to measure the effect of giving growth hormones to girls affected by... (answered by Alan3354)
A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many... (answered by macston)
Integrated circuits are manufactured on silicon wafers through a process that involves a... (answered by ikleyn)
Ms. Butler is filling planter boxes with soil. She has soil that is 28% sand, and she... (answered by josmiceli)
Mrs. Hall is filling planter boxes with soil. She has soil that is 34% sand, and she buys (answered by josgarithmetic)
A small pilot study is conducted to investigate the effect of a nutritional supplement on (answered by CPhill)
A mixture of 10 pounds of fertilizer A, 25 pounds of fertilizer B, and 7 pounds of... (answered by ikleyn)