Two plots at Rothamsted Experimental Station were studied forproduction of wheat straw. For a random sample of years, the annualwheat straw production (in pounds) from one plot was as follows.6.40 7.03 6.47 5.70 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use acalculator to verify that, for this plot, the sample variance is s2≈ 0.341. Another random sample of years for a second plot gave thefollowing annual wheat production (in pounds). 6.40 7.10 5.91 5.847.22 5.58 5.47 5.86 Use a calculator to verify that the samplevariance for this plot is s2 ≈ 0.447. Test the claim that there isa difference (either way) in the population variance of wheat strawproduction for these two plots. Use a 5% level of signifcance. (a)What is the level of significance? State the null and alternatehypotheses. Ho: σ12 = σ22; H1: σ12 > σ22 Ho: σ12 > σ22; H1:σ12 = σ22 Ho: σ22 = σ12; H1: σ22 > σ12 Ho: σ12 = σ22; H1: σ12 ≠σ22 (b) Find the value of the sample F statistic. (Use 2 decimalplaces.) What are the degrees of freedom? dfN dfD What assumptionsare you making about the original distribution? The populationsfollow independent normal distributions. The populations followindependent normal distributions. We have random samples from eachpopulation. The populations follow dependent normal distributions.We have random samples from each population. The populations followindependent chi-square distributions. We have random samples fromeach population. (c) Find or estimate the P-value of the sampletest statistic. (Use 4 decimal places.) p-value > 0.200 0.100< p-value < 0.200 0.050 < p-value < 0.100 0.020
