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9. Research on amine-based carbon dioxide (CO2) capture has mainly focused on im

ID: 3326202 • Letter: 9

Question

9. Research on amine-based carbon dioxide (CO2) capture has mainly focused on improving the effectiveness and efficiency of the CO2 capture process. Researchers at the University of Regina undertook a study to examine factors that impact efficiency of this chemical process. Their outcome variable of interest was percentage of transformed CO2, and the dependent variable was temperature. At each of four temperatures (10C, 15C, 20C, 25C) eight trials were performed. The 32 percentage transformed CO2 values are tabulated below Temperature (degrees Celsius)Percentage transformed CO2 10 15 20 25 71.23 73.42 80.36 84.96 (a) What are three assumptions of ANOVA? (b) How would you graphically assess those assumptions that can be graphically assessed? Give names of specific plots that you would use and state which assumption each plot assesses (c) What are the null and alternative hypotheses in this study? (d) Complete the ANOVA table. SourceSS df MS F p-value Temperature Error Total

Explanation / Answer

SOlutionA:

experimental errors of your data are normally distributed.

Equal variances between treatments.

(Homogenity of variances)

Indpendence of samples.

Each sample is randomly selected and independent.

Solutionb:

Null hypothesis:

Both the group means are equal

Alt Hypotesis:

Atleast one of the means different.

Solutionc:

Anova: Single Factor SUMMARY Groups Count Sum Average Variance TEMPERATURE(Degrees CELSIUS) 4 70 17.5 41.66667 Percentage transformed C02 4 309.97 77.4925 39.93009 ANOVA Source of Variation SS df MS F P-value F crit Between Groups(Temprature) 7198.2 1 7198.2 176.4335 1.13E-05 5.987378 Within Groups(Error) 244.7903 6 40.79838 Total 7442.99 7