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Stockpile Statistics Worksheet
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Stockpile Statistics Worksheet
Stockpile Statistics Worksheet
328 Sampling and Analysis of Environmental Chemical Pollutants Appendix 14 Stockpile Statistics Worksheet Stockpile Statistics Worksheet Step 1 Nu...
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328
Sampling and Analysis of Environmental Chemical Pollutants
Appendix 14 Stockpile Statistics Worksheet
Stockpile Statistics Worksheet Step 1
Number of collected samples
n¼
n n P
Step 2
Calculate sample concentration mean x n ¼ number of samples
xi x ¼ i¼1 n
x¼
n P
s2 ¼ i¼1 pffiffiffiffi s ¼ s2
x 2i
n P
2 xi
i¼1
n
s2 ¼
Step 3
Calculate sample variance
Step 4
Calculate sample standard deviation
Step 5
Calculate degree of freedom
Step 6
Calculate standard error of the mean
Step 7
Obtain Student’s t value corresponding to the degree of freedom value determined in Step 5
Look up Table 1, Appendix 1, for the selected t-value
ta ¼
Step 8
Calculate the confidence interval
CI ¼ x+ta sx
CI ¼
Step 9
Obtain action level (regulatory threshold) Ca for the contaminant of concern
Ca
Ca ¼
Step 10
Calculate the difference
D ¼ Ca x
Step 11 Step 12
Determine minimum sufficient number of samples
df ¼ n 1 sx ¼ psffiffi n
nmin ¼
Decide whether the number of samples is sufficient
n1
t2a s2 2
s¼ df ¼ sx ¼
D¼ nmin ¼
D
nmin 5n
Yes
nmin 5n
No
The contaminant of concern is not present in the stockpile above the action level if the upper limit of the CI is less than the Ca .
328
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