STAT 1000Q Lecture 12: Stats Notes 12
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STAT 1000Q Full Course Notes
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Parameter: a fixed numerical feature of a population, usually unknown. You are trying to find the mean ( ) or standard deviation. Statistic: a numerical value computed from sample data. Such as sample mean ( = x bar) or sample standard deviation (s) Confident interval (ci): a point estimate along the margin of error. The point + and - the error. Point estimate is centered between the error points. Co(cid:374)fide(cid:374)t le(cid:448)el is sho(cid:449)ed as a per(cid:272)e(cid:374)tage =(cid:1004). (cid:1004)(cid:1009) If n is less than 30, we have to assume that it is normal. To standardize a non-standardized distribution, find z-score. Co(cid:374)fide(cid:374)(cid:272)e i(cid:374)ter(cid:448)al for(cid:373)ula = (cid:894)) /(cid:1006) x (cid:895)/ (cid:374) Use inverse norm of the z-s(cid:272)ore /(cid:1006) ) s(cid:272)ore for(cid:373)ula: ) /(cid:1006) = i(cid:374)(cid:448)erse nor(cid:373) (cid:894)(cid:1005)- /(cid:1006)(cid:895) 1- ((1-cc) / 2) so inverse norm (1+cc/2) Cc= (cid:1004). 9, (cid:894)(cid:1005)+cc(cid:895)/(cid:1006)= (cid:1004). 9(cid:1009), /(cid:1006)= (cid:1004). (cid:1004)(cid:1009) ) /(cid:1006) = i(cid:374)(cid:448)erse nor(cid:373) (cid:894)(cid:1004). 9(cid:1009)(cid:895) = (cid:1005). (cid:1010)(cid:1008)(cid:1009) Cc=(cid:1004). 99, (cid:894)(cid:1005)+cc(cid:895)/(cid:1006) = (cid:1004). 99(cid:1009), /(cid:1006)= . (cid:1004)(cid:1004)(cid:1009)