In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured. Fourteen randomly selected plots of land were treated with fertilizer A, and 10 randomly selected plots were treated with fertilizer B. The number of pounds of fruit was measured from each plot. Following are the results.
Fertilizer A:
Fertilizer B:
Assume that the populations are approximately normal. Construct a 99% confidence interval for the difference between the mean yields for the two types of fertilizer. Based on your results, is it reasonable to conclude that the mean yields may be the same for fertilizers A and B?