Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of ycars, 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 sampie 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 5.58 547 5.86 Use a calculator to verify that the sample varlance for this piot is s? 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? O 05 State the nuli and aiternate hypetheses. O H 0 > 0,, ,0 -, (b) Find the value of the sample/ statistic. (Use 2 decimal places.) What are the degrees of freedom? df dfo What assumptions are you making about the original distr bution? O The populations folluw independent normal distrbutions. We have random samples trom each population. O The populations follow independent chi-square distributions. We have randon samples Irom eeth pepulatien.
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of ycars, 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 sampie 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 5.58 547 5.86 Use a calculator to verify that the sample varlance for this piot is s? 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? O 05 State the nuli and aiternate hypetheses. O H 0 > 0,, ,0 -, (b) Find the value of the sample/ statistic. (Use 2 decimal places.) What are the degrees of freedom? df dfo What assumptions are you making about the original distr bution? O The populations folluw independent normal distrbutions. We have random samples trom each population. O The populations follow independent chi-square distributions. We have randon samples Irom eeth pepulatien.
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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Question
![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 tho data are riol statistically slgnificant.
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 difters 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.
Viewing Saved Work Revert to Last Response](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F003cc70c-1b75-4753-a416-fe02387aef72%2F1c1e8d14-ae13-4c93-92eb-9f4a905805b2%2Fes2wigkh_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 tho data are riol statistically slgnificant.
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 difters 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.
Viewing Saved Work Revert to Last Response
![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 a
follows.
6.40
7.06
7.03
7.17
6.96
7.31
7.18
5.79
6.24
5.91
6.14
Use a calculator to verify that, for this plot, the sampie variance is s2 z 0.317.
Another random sample of years for a second plot gave the followng 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? 0.933.
Test the claim that there is a difference (either way) ln the population variance of wheat straw production for these two plots. Use a 5% level cf signifcance.
(a) What Is the level of significance?
0.05
State the nuli and alternate hypctheses.
O H, 0, = 0,2, H,: 0, > 0,2
(b) Find the value of the sample i statistic. (Use 2 decimal places.)
What are the degrees of freedorm?
df
df
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 Irom each pepulalion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F003cc70c-1b75-4753-a416-fe02387aef72%2F1c1e8d14-ae13-4c93-92eb-9f4a905805b2%2Fx5soglp_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 a
follows.
6.40
7.06
7.03
7.17
6.96
7.31
7.18
5.79
6.24
5.91
6.14
Use a calculator to verify that, for this plot, the sampie variance is s2 z 0.317.
Another random sample of years for a second plot gave the followng 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? 0.933.
Test the claim that there is a difference (either way) ln the population variance of wheat straw production for these two plots. Use a 5% level cf signifcance.
(a) What Is the level of significance?
0.05
State the nuli and alternate hypctheses.
O H, 0, = 0,2, H,: 0, > 0,2
(b) Find the value of the sample i statistic. (Use 2 decimal places.)
What are the degrees of freedorm?
df
df
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 Irom each pepulalion.
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