Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sumple of years, the annual wheat straw production (in pounds) from one plot was as follows.6.407.037.176.967.317.187.065.796.245.916.14Use a calculator to verify that, for this plot, the sample variance is s2 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 5.917.22 5.585.47 5.86Use a calculator to verify that the sample variance for this plot is s2 : 0.933.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?State the null and alternate hypotheses.2.O H 0,-0,; Hi o0,2.(b) Find the value of the sample Fstutistic. (Use 2 decimal places.)What are the degrees of freedom?P Type here to search3675°F Mustly sunny11:03 AM1/30/2021toho4+DII201 What are the degrees of freedom?df NdfWhat assumptions are you making about the original distribution?O The populations follow independent normal distributions. We have random sarmples from each population.O The populations follow independent chi-square distributions. We have random samples from cach 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 ariswers in parts (a) to (c), will you reject or fail to reject the null hypothes s?O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a0.05 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 AL the a = 0.05 level, we fail to reject the null hypothesls 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 varlance in annual wheat production differs belween 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 varlance in annual wheat production differs between the two plots.75°E Mostly sunny

Given: One Plot Second Plot 6.4 7.1 7.03 7.03 7.17 8.15 6.96 5.91 7.31 7.22 7.18…

Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sumple 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 sz 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 variance for this plot is s? x 0.933. 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? State the null and alternate hypotheses. O H: 0, - 0,; H,: 0,2>0 (b) Find the value of the sample Fstatistic. (Use 2 decimal places.) What are the degrees of freedorm? df P Type here to search 75°F Mustly sunny A A - 4x 1103 AM

Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sumple 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 sz 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 variance for this plot is s? x 0.933. 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? State the null and alternate hypotheses. O H: 0, - 0,; H,: 0,2>0 (b) Find the value of the sample Fstatistic. (Use 2 decimal places.) What are the degrees of freedorm? df P Type here to search 75°F Mustly sunny A A - 4x 1103 AM

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. 6.61 6.40 6.68 6.47 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 ≈ 0.253.Another random sample of years for a second plot gave the following annual wheat production (in pounds). 7.94 6.68 7.52 6.12 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.872.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?State the null and alternate hypotheses. Ho: σ12 = σ22; H1: σ12 > σ22Ho: σ12 > σ22; H1: σ12 = σ22 Ho: σ22 = σ12; H1: σ22 > σ12Ho: σ12 = σ22; H1: σ12 ≠ σ22 (b) Find the value of the sample F statistic. (Use 2 decimal…
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