hw7_solutions_0001

hw7_solutions_0001 - STAT 3022 April 28 2009 TA...

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STAT 3022, April 28. 2009 Homework 7 Solutions TA: Jingfran \,{eng 12.23. (a) With I :4 and N :2290, the degrees of freedom are DFG - I - I :3 and DFE: N - I :2286. (b)MSE:t3:4.6656,so F: H#: *H:2.5304. (c)The f (3, 1000) entry in Table E gives 0.05 < P < 0.10; sofrware give p :0.0555. 1225. (a) The plot suggests rhat borh drugs cause an increase in activity level, and Drug B appears to have a greater effect. (b) Yes: The guidelines for pooling stan- dard deviations say rhat the ratlo of largest to smallest should be less than 2: we have ,C.* l;f : 1.4 < 2. The pooled variance is _: .trsi + t22 + ..+ s{t 149.25 \ : J', _ t1r'LJ _oo< 12 r ) f JtJ+J f J t) and .ro : J\95: 3.1544. (c) The degrees of freedom are DFG * I - I : 4and DFE : .|y' - 1 : distribution in Table E, we see that 0.010 < p < 0.025; significant evidence that the means are not all the same. 22 _20 0) o.^ - tb = o- 14 Placebo Low A High A Low B High B Treatment 15. (d) Companng to an F(4, 15) software gives P : 0.0156. We have L2.29. (a) Table belou'(x, s, s; in rng/100 g) (b) To tesr Ho: pt : tL2: tr3 vs.F1.: not all p1 &r? equal, we have F:361.74 with df 4 and 5, and p < reject the 'ull h1'pothesis. Minitab output below. (c) plot below. \\,e conclude content decreases oYer time Condition i .tf - l-4 - f4f 0.000.5, so we that vitamin C Seven Immediate One dai' Three dat,s Five days Seven days C' JU 2n, o.+u tr^- -an 6" o20 _ t3 F 1n (0F 2 2 a 2 2 48.705 41.955 2t.195 \2.415 8.320 I .534 2.128 0.171 l.082 0.269 r .085 r.505 0.-s45 0.165 0.190 (a) R codes to compute sampie size, Irlean, standard devratron and standard error fc-rr each conclition:

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hw7_solutions_0001 - STAT 3022 April 28 2009 TA...

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