MIT 18 443 - Problem Set #8 (3 pages)

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Problem Set #8



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Problem Set #8

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Lecture Notes


Pages:
3
School:
Massachusetts Institute of Technology
Course:
18 443 - Statistics for Applications

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MIT OpenCourseWare http ocw mit edu 18 443 Statistics for Applications Spring 2009 For information about citing these materials or our Terms of Use visit http ocw mit edu terms 18 443 Problem Set 8 1 Here are the estimated genome sizes amount of DNA in a haploid cell or half the amount in a diploid cell for various non primate mammals given in T R Gregory 2005 Animal Genome Size Database http www genomesize com The units are in picograms In parts a h nd the sample median of the numbers for the given species or genus If you notice any numbers that would tend to make the sample mean di erent from the sample median or make the sample standard deviation large do comment on that but you need not compute the sample mean or standard deviation until part i Note that within each species the genome sizes are already arranged in order but starting over with a new species a Bos taurus domestic cattle 3 15 3 43 3 57 3 60 3 65 3 70 3 73 3 79 3 93 b Ovis aries sheep 2 34 2 57 3 30 3 33 3 50 c Canis familiaris domestic dog 2 80 2 85 2 88 2 96 3 09 3 19 3 26 3 43 3 54 d Genus Felis domestic then some wild cats 2 86 2 91 3 10 3 22 3 45 2 92 2 92 3 00 e Oryctolagus cuniculus common rabbit 2 50 2 88 3 09 3 26 3 42 3 52 3 57 f Equus caballus horse 2 95 3 15 3 15 3 21 3 38 3 48 g Mus musculus house mouse 2 45 2 92 3 25 3 26 3 26 3 28 3 31 3 35 3 38 3 45 3 52 4 03 h Rattus norvegicus Norway rat brown rat 2 98 3 05 3 14 3 27 3 36 3 82 3 90 i For the eight sample medians you ve found so far nd their sample mean sample median and sample standard deviation Does it seem that the di erences in measurements are more due to variation within species measurement errors or to actual di erences between mammal species j There are a great many species of bats and measurements for them so let s just consider fruit bats of three genera Artibeus Carollia and Dermanura Find the sample median of the following genome sizes 2 56 2 74 2 70 2 93 2 67 3 06 2 85 2 71 2 73 For fruit bats does it seem there is an



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