14 The following figures refer to the concentration of albumin, in gl1, in the b

Question

14 The following figures refer to the concentration of albumin, in gl1, in the blood sera of 16 healthy adults:

37, 39, 37, 42, 39, 45, 42, 39, 44, 40, 39, 45, 47, 47, 43, 41 (Foote, J. W. and Delves, H. T. 1983. Analyst 108: 492)

The first eight figures are for men and the second eight for women. Test whether the mean concentrations for men and women differ significantly.

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15 The concentrations (g 100 ml1) of immunoglobulin G in the blood sera of 10 donors are measured by radial immunodiffusion (RID) with the following results:

Donor 1 2 3 4 5 6 7 8 9 10 RID result 1.3 1.5 0.7 0.9 1.0 1.1 0.8 1.8 0.4 1.3

Use the Kolmogorov method to test the hypothesis that serum immunoglobu- lin G levels are normally distributed.

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16 For the situation described in Section 3.13 (H0: = 3.0%, H1: = 3.05%, = 0.036%) calculate the minimum size of sample required to make the prob- ability of a Type I error and the probability of a Type II both equal to 0.01 at most.

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17 The data given in the example in Section 3.11 for the number of breakages by four different workers are reproduced below:

24, 17, 11, 9

Test whether:

(a) The number of breakages by the first worker differs significantly from those of the other three workers.

(b) The second, third and fourth workers differ significantly from each other in carefulness.

Explanation / Answer

(15)

37, 39, 37, 42, 39, 45, 42, 39, 44, 40, 39, 45, 47, 47, 43, 41

Men concentrations = 37, 39, 37, 42, 39, 45, 42, 39

Mean of men concentrations = (37+39+37+42+39+45+42+39) / 8 = 40

Women concentrations = 44, 40, 39, 45, 47, 47, 43, 41

Mean of women concentrations = (44+40+39+45+47+47+43+41) / 8 = 43.25

SO, the mean concentrations of men and women are differ by 3.25 units

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