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Asked by Athena Colleen on May 28, 2024

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Laureysens,et al.(2004) studied the concentration of aluminum in wood from a number of clones of poplar growing in an area with heavy pollution.The same clone was sampled and tested once in August and again in November.The researchers believed that the concentration of aluminum would be shown to be increasing over time and hence higher in November than in August.The following table gives the aluminum concentrations for twelve of the clones. Laureysens,et al.(2004) studied the concentration of aluminum in wood from a number of clones of poplar growing in an area with heavy pollution.The same clone was sampled and tested once in August and again in November.The researchers believed that the concentration of aluminum would be shown to be increasing over time and hence higher in November than in August.The following table gives the aluminum concentrations for twelve of the clones. The data are to be analyzed using the Wilcoxon signed rank test.The null hypothesis they established was that the values of aluminum concentrations in the 2 months have the same distribution.What should the researchers establish as the appropriate alternative hypothesis? A) <sub> </sub> <sub> </sub> B) Values of aluminum concentrations are not the same in the 2 months. C) For the differences (November - August) ,H<sub>a</sub>: <sub> </sub> > 0. D) Values of aluminum concentrations are systematically larger in November than in August. E) <sub> </sub> <sub> </sub> The data are to be analyzed using the Wilcoxon signed rank test.The null hypothesis they established was that the values of aluminum concentrations in the 2 months have the same distribution.What should the researchers establish as the appropriate alternative hypothesis?

A)
Laureysens,et al.(2004) studied the concentration of aluminum in wood from a number of clones of poplar growing in an area with heavy pollution.The same clone was sampled and tested once in August and again in November.The researchers believed that the concentration of aluminum would be shown to be increasing over time and hence higher in November than in August.The following table gives the aluminum concentrations for twelve of the clones. The data are to be analyzed using the Wilcoxon signed rank test.The null hypothesis they established was that the values of aluminum concentrations in the 2 months have the same distribution.What should the researchers establish as the appropriate alternative hypothesis? A) <sub> </sub> <sub> </sub> B) Values of aluminum concentrations are not the same in the 2 months. C) For the differences (November - August) ,H<sub>a</sub>: <sub> </sub> > 0. D) Values of aluminum concentrations are systematically larger in November than in August. E) <sub> </sub> <sub> </sub>
B) Values of aluminum concentrations are not the same in the 2 months.
C) For the differences (November - August) ,Ha: Laureysens,et al.(2004) studied the concentration of aluminum in wood from a number of clones of poplar growing in an area with heavy pollution.The same clone was sampled and tested once in August and again in November.The researchers believed that the concentration of aluminum would be shown to be increasing over time and hence higher in November than in August.The following table gives the aluminum concentrations for twelve of the clones. The data are to be analyzed using the Wilcoxon signed rank test.The null hypothesis they established was that the values of aluminum concentrations in the 2 months have the same distribution.What should the researchers establish as the appropriate alternative hypothesis? A) <sub> </sub> <sub> </sub> B) Values of aluminum concentrations are not the same in the 2 months. C) For the differences (November - August) ,H<sub>a</sub>: <sub> </sub> > 0. D) Values of aluminum concentrations are systematically larger in November than in August. E) <sub> </sub> <sub> </sub>
> 0.
D) Values of aluminum concentrations are systematically larger in November than in August.
E)
Laureysens,et al.(2004) studied the concentration of aluminum in wood from a number of clones of poplar growing in an area with heavy pollution.The same clone was sampled and tested once in August and again in November.The researchers believed that the concentration of aluminum would be shown to be increasing over time and hence higher in November than in August.The following table gives the aluminum concentrations for twelve of the clones. The data are to be analyzed using the Wilcoxon signed rank test.The null hypothesis they established was that the values of aluminum concentrations in the 2 months have the same distribution.What should the researchers establish as the appropriate alternative hypothesis? A) <sub> </sub> <sub> </sub> B) Values of aluminum concentrations are not the same in the 2 months. C) For the differences (November - August) ,H<sub>a</sub>: <sub> </sub> > 0. D) Values of aluminum concentrations are systematically larger in November than in August. E) <sub> </sub> <sub> </sub>

Wilcoxon Signed Rank Test

A non-parametric statistical test used to compare two related samples or repeated measurements on a single sample to assess whether their population mean ranks differ.

Aluminum Concentrations

The amount or level of aluminum present in a given substance, mixture, or environment.

Null Hypothesis

A hypothesis that assumes no significant difference or effect, serving as a default assumption to be tested against experimental data.

  • Acquire knowledge on how to apply and interpret the Wilcoxon signed rank test for paired data analysis.
  • Develop null and alternative hypotheses for non-parametric tests aligned with research goals.
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SD
Sylvia DooleyJun 03, 2024
Final Answer :
D
Explanation :
The alternative hypothesis should state that the values of aluminum concentrations in November are systematically larger than the values in August. Therefore, choice D is the best option. Choice B is too vague as it does not specify in which direction the difference lies. Choice A and E do not provide a clear alternative hypothesis. Choice C is incorrect because it refers to the differences between the two months rather than the actual concentrations.

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