What are the degrees of freedom?df NdfolWhat 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 > 0.200O 0.100 < p-value < 0.200O 0,050 < p-value < 0.100O 0.020 < p-value < 0.050O 0.002 < p-value < 0.020O 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.O Type here to search79 F Mostly sunny 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.6.407.067.037.176.967.317.185.796.245.916.14Use a calculator to verify that, for this plot, the sample variance is s2 x (0.317.Another random sample of years for a second plot gave the following annual wheat production (in pounds).7.107.03 8.15 5.91 7.225.585.475.86Use a calculator to verify that the sample variance for this plot is s2 0.933.Test the clalm that there is a difference (eilther way) in the population variance of whcat straw production for thesc two plots. Use a 5% level of signifcance.(a) What is the level of significance?0.05State the null and alternate hypotheses.O H, 0,2 = 0,2; H,0,? >0,?O H,i 0,> 0,, H;:0,² = 0,O H, 0, = 0,; H; 0,?>0,?2.21 01%3D(b) Find the value of the sattiple F statistlc. (Usc 2 decimal places.)Whal are the degrees of tfreedom?df NdflWhat assumptions are you making about the original distribution?O The populations follow independent normal distributions. We have random saimples from cach popalalion.O The pupulations follow independent chi-square distributions. Wc have rando sples from cach popiilation.O The nonulations follw indencndent natmal distrihutions1:13 PM79°F Mostly sunny7/30/202119P Type here to search(36

Name: What are the degrees of freedom?df NdfolWhat assumptions are you maki
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Description: What are the degrees of freedom?df NdfolWhat 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-s