Better barley 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. The following table displays the data on yield (lb/acre).27 Plot Regular Kiln 1 1903 2009 2 1935 1915 3 1910 2011 4 2496 2463 5 2108 2180 6 1961 1925 7 2060 2122 8 1444 1482 9 1612 1542 10 1316 1443 11 1511 1535 (a) How can the Random condition be satisfied in this study? (b) Assuming that the Random condition has been met, do these data provide convincing evidence that drying barley seeds in a kiln increases the yield of barley, on average? Justify your answer.

Section 6: Statistics in Sports Stat 2220, Espey ➢ Random Variable: a variable with different outcomes that each assume a numerical value ○ Represented with Y ○ Discrete RV: countable ○ Continuous RV: measured on a continuous scale (decimals can be used) ➢ Binomial Random Variable: How many times one two possible outcomes occurs after...