(a)
Interpretation:
The counting rate 9cpm is the background counting rate in the laboratory which was measured at the time period of 3 min and it is required that the value of standard relative deviation should be less than the 5%
Concept introduction:
The formula for the standard deviation for the corrected counting rate is given as-
Where,
Relative standard deviation is represented by the following formula-
Also,
(b)
Interpretation:
The counting rate 9cpm is the background counting rate in the laboratory which was measured at the time period of 3 min and it is required that the value of standard relative deviation should be less than the 5%
Concept introduction:
The formula for the standard deviation for the corrected counting rate is given as-
Where,
Relative standard deviation is represented by the following formula-
Also,
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Principles of Instrumental Analysis
- To test the quality of the work of a commercial laboratory, duplicate analyses of apurified benzoic acid (68.8% C, 4.953% H) sample were requested. It is assumed that therelative standard deviation of the method is sr → = 4 ppt for carbon and 6 ppt forhydrogen. The means of the reported results are 68.5% C and 4.882% H. At the 95%confidence level, is there any indication of systematic error in either analysis?arrow_forwardA new method was created to determine arsenic in rice. To validate this method, a reference standard was used with a certified concentration of 2.1 ppm of Arsenic, with a standard deviation of 0.7 ppm . When analyzing the reference standard 7 times, with the new method, an average of 2.87 ppm was obtained with a standard deviation of 0.4 ppm. These results show that the new method Has it been validated? Does it have systematic errors? Has a precision similar to that of the reference standardarrow_forwardA young researcher was evaluating a standard method for determining the methylmercury content in blue fin tuna using high performance liquid chromatography (HPLC). She determined the standard deviation (?)(s) for the method to be 0.440.44 ppb and assumed that ?s was a good approximation of ?σ . As a test, she used this method to evaluate the methylmercury content in a National Institutes of Standards and Technology (NIST) standard and determined the unknown amount to be within 0.210.21 ppb (?)(μ) of the known mean with 99% probability. How many replicate measurements of the NIST standard did the researcher perform?arrow_forward
- [References) A method for the determination of the corticosteroid methylprednisolone acetate in solutions obtained from pharmaceutical preparations yielded a mean value of 3.7 mg mL with a standard deviation of 0.3 mg mL. For quality control purposes, the relative uncertainty in the concentration should be no more than 3%. How many samples of each batch should be analyzed to ensure that the relative standard deviation does not exceed 9% at the 95% confidence level? samplesarrow_forwardYou are developing a Ca detection method for a graphite furnace AA instrument. Your analysis of ten blank samples gives a standard deviation of 0.265 ppb. To establish your limit of detection (LOD), what concentration of Ca should be spiked into your blanks?arrow_forwardA clinical chemist obtained the following data for the alcohol content of a sample of blood: % C2H5OH: 0.084, 0.089, and 0.079. Calculate the 95% confidence interval for the mean assuming that (a) the three results obtained are the only indication of the precision of the method and that (b), from previous experience on hundreds of samples, we know that the standard deviation of the method s 5 0.005% C2H5OH and is a good estimate of s.arrow_forward
- Q5. Two methods were used to measure fluorescence lifetime of a dye. The average result for Method 1 is = 1.382 ns with a standard deviation of s1 = 0.039 and n1= 7. The average result for Method 2 is = 1.346 ns with a standard deviation of s2 = 0.015 and n2= 5. Is there a difference between the two methods at the 95% confidence level using F test?arrow_forward2 (1) When performing chemical measurements, replicate experiments are often needed. This is to mitigate (Systematic or Random) error. (2) A CHEM 215 student performed 5 measurements of the wt% of SO4²- of a solid power sample. The results are 8.75%, 8.85%, 8.89%, 8.71%, 8.64%. The standard deviation is 0.10%. What is the confidence interval for this student's experiment at 95% confidence level. The t values for 95% confidence for degree of freedom from 1 to 5 are 12.71, 4.303, 3.182, 2.776, 2.571, respectively. Show your work!arrow_forward:0.29 µg Cu/mL (s → ơ). The analysis of an oil from a reciprocating aircraft An atomic absorption method for determination of copper in fuel samples yielded a pooled standard deviation of spooled engine showed a copper content of 8.03 ug Cu/mL. Calculate the 95 and 99% confidence intervals for the result if it was based on (This problem requires values in your textbook's specific appendices, which you can access through the OWLV2 MindTap Reader. You should not use the OWLV2 References' Tables to answer this question as the values will not match.) a a single analysis 95% confidence interval = 8.03 + µg Cu/mL 99% confidence interval = 8.03 ± ug Cu/mL b the mean of 5 analyses 95% confidence interval = 8.03 + | ug Cu/mL 99% confidence interval = 8.03 ± µg Cu/mL c the mean of 15 analyses 95% confidence interval = 8.03 + ug Cu/mL 99% confidence interval = 8.03 ± ug Cu/mLarrow_forward
- Principles of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning