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# THE UNIVERSITY OF NEW SOUTH WALES

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Niveau: Supérieur, Master
THE UNIVERSITY OF NEW SOUTH WALES DEPARTMENT OF STATISTICS Exercises for MATH3811, Statistical Inference One Sample Problems. Two Sample Problems 1. In a study of drug abuse in a suburb A it was found that the median I.Q. of arrested abusers who were 16 years of age or older was 107. In order to test whether the median I.Q. of arrested abusers aged 16 or more in another suburb B is also 107, the I.Q.'s of 12 such persons from the suburb B were determined and are given below: 108, 111, 99, 127, 109, 100, 90, 94, 135, 104, 119, 117 a) Carry out an appropriate sign test. b) Give a non-parametric point estimate and find 95% confidence limits for the median I.Q. of drug abusers aged 16 or more in the suburb B. 2. The following table gives the level of the chemical serotonin in the blood of a patient before and after injecting 2.5mg of the drug reserpine. Patient 1 2 3 4 5 6 7 8 9 10 Level before 0.61 0.59 0.68 0.67 0.70 0.56 0.64 0.59 0.64 0.64 Level after 0.56 0.46 0.59 0.53 0.79 0.50 0.54 0.52 0.72 0.60 a) Carry out a sign test of the hypothesis that there is no difference in the serotonin level of a patient before and after injecting reserpine.

• another suburb

• alcohol treatment

• wilcoxon test

• who lived

• pure alcohol

• boy

• patient before

• exact wilcoxon

• test whether

• random variable

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