6540 Lecture Notes - Lecture 6: Sampling Distribution, Confidence Interval, Statistical Parameter

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The weight of angus cows is normally distributed with: The sample means y will be approximately normal with: a (cid:373)ea(cid:374) of (cid:1005)(cid:1007)(cid:1004)(cid:1013) pou(cid:374)ds a(cid:374)d, a sta(cid:374)dard deviation of pounds. The clt says the sampling distribution will be approximately. For the means of all random samples: (cid:1010)(cid:1012)% (cid:449)ill (cid:271)e (cid:271)et(cid:449)ee(cid:374) (cid:1005)(cid:1006)(cid:1013)(cid:1007). (cid:1007) a(cid:374)d (cid:1005)(cid:1007)(cid:1006)(cid:1008). (cid:1011) l(cid:271), (cid:1013)(cid:1009)% (cid:449)ill (cid:271)e (cid:271)et(cid:449)ee(cid:374) (cid:1005)(cid:1006)(cid:1011)(cid:1011). (cid:1010) a(cid:374)d (cid:1005)(cid:1007)(cid:1008)(cid:1004). (cid:1008) l(cid:271), (cid:1013)(cid:1013). (cid:1011)% (cid:449)ill (cid:271)e (cid:271)et(cid:449)ee(cid:374) (cid:1005)(cid:1006)(cid:1010)(cid:1005). (cid:1013) a(cid:374)d (cid:1005)(cid:1007)(cid:1009)(cid:1010). (cid:1005) l(cid:271). Once you have chosen the first two numbers in the set, the third is fixed. In other words, (cid:455)ou (cid:272)a(cid:374)"t (cid:272)hoose the thi(cid:396)d ite(cid:373) i(cid:374) the set. The o(cid:374)l(cid:455) (cid:374)u(cid:373)(cid:271)e(cid:396)s that a(cid:396)e f(cid:396)ee to (cid:448)a(cid:396)(cid:455) a(cid:396)e the fi(cid:396)st t(cid:449)o: so deg(cid:396)ees of f(cid:396)eedo(cid:373) fo(cid:396) a set of th(cid:396)ee (cid:374)u(cid:373)(cid:271)e(cid:396)s is two. If you happen to know o (which almost never happens), use the normal model and not.

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