In: Statistics and Probability
William Gosset (aka Student) did an experiment in which regular and kiln-dried seeds were planted in adjacent plots in 11 plots. The yield (lb/acre) for each plot was recorded at harvest.
> regular 1903 1935 1910 2496 2108 1961 2060 1444 1612 1316 1511
> kiln-dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535
Do the data suggest that one method of preparing the seeds is better than the other? (Use an α = 0.01.)
Answer this question by treating the difference in yields as the outcome. Be sure to state the model, the hypotheses, a p-value, and a conclusion.