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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
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 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 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 5.91 7.22 5.58 5.47 5.86 Use 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 search 36 75°F Mustly sunny 11:03 AM 1/30/2021 to ho 4+ DII 201
Transcribed Image Text: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 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 5.91 7.22 5.58 5.47 5.86 Use 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 search 36 75°F Mustly sunny 11:03 AM 1/30/2021 to ho 4+ DII 201
What are the degrees of freedom? df N df What 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 > 0.200 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 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 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 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
Transcribed Image Text:What are the degrees of freedom? df N df What 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 > 0.200 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 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 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 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
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