For items 25 to 26: A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below. PLOT 1 2 3 4 5 6 7 8 9 10 BEFORE 9 9 8 7 6 10 11 AFTER 10 8 7 10 10 10 12 You wish to test the following hypothesis at the 10 percent level of significance. Ho: HD = 0 vs Hạ:40 # 0. 25. What is the value of the appropriate test statistic? C. 2.033 A. 2.536 B. –5.014 D. 1.584 26. What can you conclude about the new additive at 10% level of significance? A. There is enough evidence that the additive is not effective in growing corns. B. There is no difference between the yield of corn before and after applying the additive. C. There is not enough evidence that the additive is effective in growing corn. D. The additive has increased the vield of corn 56

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.