Match each of the following with the analysis technique best suited for the scen
ID: 3243269 • Letter: M
Question
Match each of the following with the analysis technique best suited for the scenario.
A. Hypothesis Test on the Mean
B. Confidence Interval
C. ANOVA
D. Paired t-test
E. Linear Regression
F. Experimental Design
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- A new biological process from remediating metal contamination in water is tested. It is applied to 15 samples of water with various levels of contamination, and the levels before and after the treatment are recorded for each sample. You run a statistical analysis to determine if the process reduces contamination.
- Contaminant levels in groundwater at five different wells are studied. 10 samples from each well are taken, with the purpose of determining whether the contaminant level in any particular well is significantly different than the contaminant level in the other wells
- We wish to determine how many samples are needed to establish an estimate of the particulate concentration of a smokestack effluent to within an accuracy of 1ppm.
-We want to determine if the mean emission levels of sulfur compounds from a coal-fired generating station exceeds the limits approved by the Environmental Protection Agency. We take 15 samples during a given day and then do a statistical analysis to determine whether this is so.
-Starting with untreated sewage, we add varying amounts of chlorine and determine the percentage of pathogens killed in the course of 15 different experiments. We wish to establish a model that relates the amount of chlorine used to the percentage of pathogens killed.
-We wish to determine the settings of four different factors in order to optimize the rate at which algae grows in a plant that generates biofuels. The factors are oxygen concentration, nitrate concentration, water temperature, and light intensity. We run an experiment for each combination of high and low values of these factors, then do a statistical analysis that provides a model of how these factors affect the rate of algae growth.
Explanation / Answer
1 ) A new biological process from remediating metal contamination in water is tested. It is applied to 15 samples of water with various levels of contamination, and the levels before and after the treatment are recorded for each sample. You run a statistical analysis to determine if the process reduces contamination .
---------------------- Paired t-test
2 ) Contaminant levels in groundwater at five different wells are studied. 10 samples from each well are taken, with the purpose of determining whether the contaminant level in any particular well is significantly different than the contaminant level in the other wells .
-------------------------- ANOVA
3 ) We wish to determine how many samples are needed to establish an estimate of the particulate concentration of a smokestack effluent to within an accuracy of 1ppm.
---------------------------------- Confidence interval
4 ) We want to determine if the mean emission levels of sulfur compounds from a coal-fired generating station exceeds the limits approved by the Environmental Protection Agency. We take 15 samples during a given day and then do a statistical analysis to determine whether this is so .
------------------------- Hypothesis Test on the Mean
5 ) Starting with untreated sewage, we add varying amounts of chlorine and determine the percentage of pathogens killed in the course of 15 different experiments. We wish to establish a model that relates the amount of chlorine used to the percentage of pathogens killed .
------------------------------ Linear Regression
6 ) We wish to determine the settings of four different factors in order to optimize the rate at which algae grows in a plant that generates biofuels. The factors are oxygen concentration, nitrate concentration, water temperature, and light intensity. We run an experiment for each combination of high and low values of these factors, then do a statistical analysis that provides a model of how these factors affect the rate of algae growth .
-------------------- Experimental Design