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USTAT217Q1F09W-solution - Statistics 217 B23/B24 1(a x =...

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Statistics 217 – B23/B24 Quiz One Solution Jan 30, 2009 1 (a) 310 = x (b) α = 0.03, z α/2 = z 0.015 = 2.17009 The 97% CI for µ is ) , ( 2 / 2 / n s z x n s z x α α + - ) 40 36 17009 . 2 58 . 1 , 40 36 17009 . 2 310 ( + - = = ( 297.6476 , 322.3524 ) (c) large sample (d) z 0.015 = 2.17009 2 2 2 / ) 5 36 17009 . 2 ( ) ( = E s z n α =244.1296 Round UP to 245 2 (a) Since n=25 and σ is unknown, use t-test. H 0 µ = 65 vs H a µ >65 Test statistics 0833 . 2 25 / 12 65 70 / 0 = - = - = n s x t μ Critical value t 0.04,24 = 1.82805 Reject H 0 since test statistic t >1.82805 At the 4% significance level, data provides sufficient evidence to conclude that the training has
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