Fertilizer is a very important component for growing vegetables. It keeps the soil in optimum shape to feed the crops. Choosing the right type of fertilizer and adding the right amount are important steps in farming.

Kim, the owner of a vegetable farm, is introduced to an organic fertilizer that replaces the chemical fertilizer she is using now. She performs a test on the amounts

(in kg) needed for both fertilizers on two equal pieces of land. She finds that the average amount of chemical fertilizer required is 23.2 kg with a standard deviation of 2.67 kg. The organic fertilizer requires an average of 21.6 kg with a standard deviation of 3.78 kg.

a. Determine which fertilizer gives Kim a greater relative variation.

b. Assume that the amounts of the two fertilizers used are nearly symmetrical. Find the largest and smallest amounts of the two fertilizers needed.

c. Suppose Kim does not want to use the minimum fertilizer for her farm. Use the findings in part b to help her make a decision.