A farmer is growing two varieties of hot peppers. He grows the plants under the same conditions, and matches peppers from each plant harvested at the same time together. The heat of the peppers from each plant, in Scoville units, is recorded in peppers.csv. Looking over the data, the farmer concludes the peppers from plant A are hotter than those from plant B. Use a test to evaluate this claim. First do the calculation by hand. Then perform the test in R and compare your results. For this problem, you may assume the distribution of pepper heat is normally distributed.

PlantA	PlantB
32000	30000
40000	34000
35000	36000
41000	39000
33000	34000
38000	33000
46000	31000
37000	38000
39000	32000
42000	35000