Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 7.10 6.05 7.10 5.91 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.374. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 7.03 5.77 6.12 5.91 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.427. Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots. Use a 5% level of signifcance. (a) What is the level of significance?   (b) Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? dfN   dfD

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A: x1 = 71.72n1 =11s1 = 0.5577 x2 = 52.81n2 = 8s2 = 0.9548

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