Analysis necessary to reduce the concentration of PCBs

AI Thread Summary
The discussion revolves around the analysis of PCB concentrations in wastewater, where the average concentration was found to be 3.20 ppm, exceeding the factory's internal threshold of 3 ppm. The calculations indicate that the results do not provide conclusive proof to stop production, as the statistical test shows that the average is not significantly different from the threshold at a 95% confidence level. However, at a 99% confidence level, the results suggest that action may be necessary to reduce PCB concentrations. The conversation emphasizes the importance of statistical analysis in environmental compliance and decision-making. Overall, the analysis highlights the need for further action to address PCB levels in effluent.
jingjang
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Hello

i have a problem with my homework and i hope someone can help me? because i really don't know how to calculate this
so its translated with google translate :blushing:

Major customer PCB (polychlorinated biphenyls, a hazardous substance used in
manufacture of transformers and capacitors), bring in small quantities PCBja
wastewater environment. Permissible concentration in water PCBja standard 5ppm
(Parts per million). Factory Administration issued internal instructions that must be stopped
production if the average concentration in the effluent PCBja exceed 3 ppm. Analysis
effluent in 50 random samples taken showed an average of 3.20 ppm PCBs, with
0,23 scattering ppm (squared).
Calculate:
A: are the results of the analysis is conclusive proof that it is necessary to stop production
B: is based on the analysis necessary to reduce the concentration of PCBs in the effluent
C: if you were the head of the factory, what would be your action on the basis of the analysis carried out
 
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Please show us what work you have done on this problem, so that we can better help you. In particular, what do you think would constitute as conclusive proof?
 


n=50
x=3ppm
xi=3.2ppm
s2=0.23ppm2
s=0.48ppm
λ=(3.2ppm-3ppm)/0.48ppm=0.42

hmmm...
 


or is it like this
t=(3.2ppm-3ppm)/0.48ppm * √n =2.97
H(S=95%,n-1) x=μ--> t=2.0092
2.97<2.0092 (not true)
H(S=99%, n-1) x≠μ t=2.6802
2.97>2.6802 (true)
 

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