Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds):

3.81 2.97 5.19 3.40 3.05 2.40 4.35 3.00

4.89 5.23 3.37 4.00 3.84 5.42 5.09 5.03

For this plot, the sample variance is s2 = 0.959. Another random sample of years for a second plot gave the following annual wheat production (in pounds):

3.53 3.65 3.89 4.19 3.44 3.42 3.58 3.83

3.46 4.32 3.58 3.45 3.77 3.54 3.48 4.07

For this plot, the sample variance is s2= 0.081 . Test the claim using a = 0.1 that the population variance of annual wheat production for the first plot is larger than that for the second plot.

Find (or estimate) the P-value of the sample test statistic given that the sample test statistic F = 11.839506.