Yield.(from w. s. gosset’s 1908 student’s t distribution paper).is the mean yield in lb/acre thesame for kiln dried and regular corn seed?

a) assume yields for both seed types follow normal distributions and treat the samplesof plots as independent. compute a 95% confidence interval for the difference betweenpopulation mean yield amounts kiln dried and regular corn seed. use df = 20.

n sample mean s
kiln drie 11
1875.2

332.9
regular 11
1841.5

342.7
b) in the actual experiment the samples were dependent. eleven large plots of land wererandomly selected and divided in half, creating 11 pairs of adjacent plots. in each pair, one side was planted with kiln dried corn seed and the other with regular corn seed. yield amounts in lb/acre were recorded. compute a 95% confidence interval for thedifference between true mean yield amounts for kiln dried and regular corn seed by first finding the differences for each matched pair.

1 2 3 4 5 6 7 8 9 10 11
kiln dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535
regular 1903 1935 1910 2496 2108 1961 2060 1444 1612 1316 1511
c) compare ci widths for the two analysis methods.