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
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Author:Amos Gilat
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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.
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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.
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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