COMM 87 Lecture Notes - Lecture 6: Sampling Distribution, Standard Deviation

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11 Apr 2018
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Plot o(cid:310) sample statisti(cid:272)s (cid:614)e(cid:467). means o(cid:409) othe(cid:409)(cid:615) (cid:310)(cid:409)om multiple samples. The(cid:409)e a(cid:409)e di(cid:310)(cid:310)e(cid:409)ent t(cid:468)pes o(cid:310) samplin(cid:311) dist(cid:409)i(cid:271)utions (cid:614)e(cid:467). (cid:637)samplin(cid:311) dist(cid:409)i(cid:271)ution o(cid:310) sample means,(cid:638) o(cid:409) (cid:637)samplin(cid:311) dist(cid:409)i(cid:271)ution o(cid:310) sample mean di(cid:310)(cid:310)e(cid:409)en(cid:272)es(cid:638)(cid:615) Va(cid:409)iations (cid:271)et(cid:462)een sample means is due to (cid:637)samplin(cid:311) e(cid:409)(cid:409)o(cid:409)(cid:638) Can (cid:272)al(cid:272)ulate a mean and standa(cid:409)d de(cid:461)iation. X o(cid:409) = mean o(cid:310) all the sample means (cid:614)e(cid:408)ual to (cid:271)e(cid:272)ause theo(cid:409)eti(cid:272)all(cid:468) e(cid:461)e(cid:409)(cid:468)one in. X = standa(cid:409)d e(cid:409)(cid:409)o(cid:409) o(cid:310) the mean (cid:614)this is the standa(cid:409)d de(cid:461)iation o(cid:310) the samplin(cid:311) the population has (cid:271)een measu(cid:409)ed (cid:461)ia the samples(cid:615) dist(cid:409)i(cid:271)ution o(cid:310) sample means(cid:615) All no(cid:409)mal (cid:272)u(cid:409)(cid:461)es a(cid:409)e made o(cid:310) app(cid:409)o(cid:467)imatel(cid:468) si(cid:467) standa(cid:409)d de(cid:461)iations. (cid:528) sd = (cid:533)(cid:535)% o(cid:310) s(cid:272)o(cid:409)es (cid:614)p = (cid:527). (cid:533)(cid:535)(cid:615) (cid:529) sd = (cid:536)(cid:532)% o(cid:310) s(cid:272)o(cid:409)es (cid:614)p = (cid:527). (cid:536)(cid:532)(cid:615)

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