3 In order to compare fertilizer A and fertilizer B, a paired experiment was conducted. Ten two-acre plots were chosen throughout the region and the two fertilizers were randomly assigned to the plots. That is, it was randomly decided which of the fertilizers was applied to the northern one-acre plot and the other fertilizers was applied to the southern one-acre plot. The yields of wheat per acre were recorded and are given in Table 1-5. Test the research hypothesis that there is a difference in average yield, depending on the fertilizers, at α=0.01. Answer the following questions in performing your analysis. Form you differences by subtracting fertilizers B yield from fertilizers A yield.
A What is the value of the average difference?
B What is the standard deviation of the differences?
C What is the computed value of the test statistic?
D What is the p-value for the test, and what is your conclusion?