By H. A. Freeman, Milton Friedman, Frederick Mosteller, Allen W. Wallis (eds.)
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Comment on these results. . 97. Comment on the bias, precision and accuracy of these results. 4 Discuss the degrees of bias and precision desirable or acceptable in the following analyses: (i) Determination of the lactate concentration of human blood samples. (ii) Determination of uranium in an ore sample. (iii) Determination of a drug in blood plasma after an overdose. (iv) Study of the stability of a colorimetric reagent by determination of its absorbance at a single wavelength over a period of several weeks.
4 The concentration of lead in the bloodstream was measured for a sample of 50 children from a large school near a busy main road. 64 ng ml−1. Calculate the 95% confidence interval for the mean lead concentration for all the children in the school. e. 1 ng ml−1)? 5 In an evaluation of a method for the determination of fluorene in sea-water, a synthetic sample of sea-water was spiked with 50 ng ml−1 of fluorene. 5 ng ml−1. (Gonsález, M. A. and López, M. H. 1998. Analyst 123: 2217) Calculate the 95% confidence limits of the mean.
And consequently the smaller the spread of the sample means about µ. The term ‘standard error of the mean’ might give the impression that σ/√n gives the difference between µ and x. This is not so: σ/√n gives a measure of the variability of x, as we shall see in the next section. Another property of the sampling distribution of the mean is that, even if the original population is not normal, the sampling distribution of the mean tends to the normal distribution as n increases. This result is known as the central limit theorem.