STATS 10 Lecture Notes - Lecture 17: Confidence Interval, Statistical Inference, Sampling Distribution

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25 Mar 2017
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5, 6, and first half of 7: does not cover confidence intervals. Review quiz 2 and practice quiz 3 on ccle. 7: sampling distribution problems, checking conditions for using the clt. That value is the pa(cid:396)a(cid:373)ete(cid:396), populatio(cid:374) p(cid:396)opo(cid:396)tio(cid:374) (cid:858)p(cid:859): sample, we have our sample. The proportion we observe in our sample is the statistic, the sample p(cid:396)opo(cid:396)tio(cid:374) (cid:858)p-hat(cid:859): p-hat = x/n, x = number of yeses, n = total sample size. Example 1: populatio(cid:374): (cid:271)u(cid:272)ket of eese(cid:859)s pie(cid:272)es. I do not know the proportion of yellow. I am 95% confident that the owner is between 28 and 32 (30 +- 2). I am 99. 7% confident that the owner is between 27 and 33 (30 +- 3). It is possible for the owner to be at 33. 5. However, this would be surprising to us because that means the picture was taken when the dog decided to go more than 3 yards from the owner.

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