Does drying barley seeds in a kiln increase the yield of barley? A famous experiment by William S. Gosset (who discovered the t distributions) investigated this question. Eleven pairs of adjacent plots were marked out in a large field. For each pair, regular barley seeds were planted in one plot and kiln-dried seeds were planted in the other. A coin flip was used to determine which plot in each pair got the regular barley seed and which got the kiln-dried seed. The following table displays the data on barley yield (pound per acre) for each plot.

Do these data provide convincing evidence at the level that drying barley seeds in a kiln increases the yield of barley, on average?

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Plot Regular Kiln 1 1903 2009 2 1935 1915 3 1910 2011 4 2496 2463 5 2108 2180 1961 1925 7 2060 2122 1444 1482 1612 1542 10 1316 1443 11 1511 1535