Question

Question 4. (20 pts.) The objectives of a study by Skjelbo et al. were to examine (a) the relationship between Chloroguanide metabolism and efficacy in malaria prophylaxis and (b) the mephenytoin metabolism and its relationship to chloroguanide metabolism among Tanzanians. From information provided by urine specimens from the 216 subjects, the investigators computed the ratio of unchanged S-mephenytoin to R-mephenytoin (S/R ratio). The results were as follows: 0.0269 0.0400 0.0550 0.0550 0.0650 0.0670 0.0700 0.0720 0.0760 0.0850 0.0870 0.0870 0.0880 0.0900 0.0900 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.0990 0.1000 0.1020 0.1040 0.1050 0.1050 0.1080 0.1080 0.1090 0.1090 0.1090 0.1160 0.1190 0.1200 0.1230 0.1240 0.1340 0.1340 0.1370 0.1390 0.1460 0.1480 0.1490 0.1490 0.1500 0.1500 0.1500 0.1540 0.1550 0.1570 0.1600 0.1650 0.1650 0.1670 0.1670 0.1677 0.1690 0.1710 0.1720 0.1740 0.1780 0.1780 0.1790 0.1790 0.1810 0.1880 0.1890 0.1890 0.1920 0.1950 0.1970 0.2010 0.2070 0.2100 0.2100 0.2140 0.2150 0.2160 0.2260 0.2290 0.2390 0.2400 0.2420 0.2430 0.2450 0.2450 0.2460 0.2460 0.2470 0.2540 0.2570 0.2600 0.2620 0.2650 0.2650 0.2680 0.2710 0.2800 0.2800 0.2870 0.2880 0.2940 0.2970 0.2980 0.2990 0.3000 0.3070 0.3100 0.3110 0.3140 0.3190 0.3210 0.3400 0.3440 0.3480 0.3490 0.3520 0.3530 0.3570 0.3630 0.3630 0.3660 0.3830 0.3900 0.3960 0.3990 0.4080 0.4080 0.4090 0.4090 0.4100 0.4160 0.4210 0.4260 0.4290 0.4290 0.4300 0.4360 0.4370 0.4390 0.4410 0.4410 0.4430 0.4540 0.4680 0.4810 0.4870 0.4910 0.4980 0.5030 0.5060 0.5220 0.5340 0.5340 0.5460 0.5480 0.5480 0.5490 0.5550 0.5920 0.5930 0.6010 0.6240 0.6280 0.6380 0.6600 0.6720 0.6820 Mth251 Page 2 (a) From these data construct the following distributions: frequency, relative frequency, cumulative frequency, and cumulative relative frequency; and the following graphs: histogram, frequency polygon. (b) The investigators defined as poor metabolizers of mephenytoin any subject with an S/R mephenytoin ratio greater than 9. How many and what percentage of the subjects were poor metabolizers? (c) How many and what percentage of the subjects had ratios less than 7? Between .3 and .6999 inclusive?

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Answer 1

Frewency umulative prewency Relative currmulative Consider the dass interval be oog a) Classinterval Relative 0.0.0899 13 13 0.068 0.068 0.09-0.1799 75 98 0.39) 0.458 0.18-0.2699 39 120 0.167 0.625 0.27-0.3599 23 143 0.120 0.745 0.36-0.4499 gu 167 0.125 0870 0.45-0.5399 11 178 0.057 0.927 0.052 188 0.979 0.54 0.6299 10 4 0.63 - 0.7199 199 0.021 1000

Histogram 80 70 60 50 40 30 20 Frequency hu 10 0 0.18-0.2699 0.63-0.7199 0-0.0899 0.09-0.1799 0.27-0.3599 0.36-0.4499 0.45-0.5399 0.54-0.6299

Mid Point Firewency 0.04495 13 0.13495 75 o 22495 32 93 0.31495 0.40495 24 0.49495 0.584495 10 0.67495 4

Frequency polygon 80 70 60 50 40 Frequency 30 20 10 0 0 0.2 0.4 0.6 0.8

b). No value are greater than 09. Hence, lexo Percent c). 63 subjects had slr values less than 0.70 1.e 63 192 = 0.3981. 32.8125 Percent had sle in the range 0.3-0699

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