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. 6.40 7.03 7.17 6.96 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 z 0.317. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 7.10 7.03 8.15 5.91 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample varlance for this plot is s 0.933. Test the claim that there is a difference (elther way) in the ponulation variarice of wheat straw production for these two plots, Use a 5% level of signifcance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. 2 %3D 2 2. O H,: 0,2 > 0,2; H, 0,= a, O 1:0,2-0,; H,: 0,? > 0,2 O H ,2-0,; H0,+, (b) Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? df N dfp What assumptions are you making about the original distribution? O The populations follow Independent normal distributions. We have random samples from each populatlon. O The populations follow indeperident chi-square distributions. We have random samples from each population. O The nonulations follow indenendent normal.distrihutions P Type here to search 梦0 12:43 PM (36) 78° AQI 52 7/30/2021 What are the degrees of freedom? df dfpl What assumptions are you making about the original distribution? O The populations follow independent normal distributions. We have random samples from each population. O The populations follow independent chi-square distributions. We have random samples from each population. O The populations follow independent normal distributions. O The populations follow dependent normal distributions. We have random samples from each population. (c) Find or estimate the P-value of the sample test statistic. (Use 4 decimal places.) O p-value > 0.200 O 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 O 0.020 < p-value < 0.050 O 0,002 < p-value < 0.020 O p-value < 0.002 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O At the a 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a =0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a -0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a -0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots. O Reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots. O Reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots. O Fail to reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots. P Type here to search 78 F AQI 52