# Test 9B.docx - I I J 10 Name pgg g AP Test 9B Statistics Pa...

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I I 10 J Test 9B AP Statistics Name: •• pgg g s g r Pa rt 1: Multiple Choice. Circle the letter corresponding to the best answer . 1. A significance test was performed to te st the null hypothe s i s H 0 : p = 0.5 versus the alternative H a : p > 0.5. fi thi s test ? 0.0808 0.1492 (c) 0.1616 (d) 0.2984 (e) 0.9192 The te s t statistic i s z = 1 .40 . Which of the fo ll ow in g is closest to the P-value 2. The mean time it takes for a per so n to experience pain relief from aspirin i s 25 minute s. A new ingredient is added to help s peed up relief. Let µ denote the mean time to obta in pain relief with the n ew product. A n experiment i s conducted to verify if the new product work s more quickly. What are the null and alternative hypothese s for the approp ri a te te s t of s ignifican ce? {.a)_ H o : µ = 25 vs. Ha : µ * 25 U o Ho : µ = 25 vs. H a : µ < 25 (c) H o : µ < 25 vs. H a : µ = 25 (d) H o : µ < 25 vs. Ha : µ > 25 (e) H o : µ = 25 vs. Ha : µ > 25 Y.A te s t of H : f-L = 60 versus H : f-L * 60 produces a sample mean of x = 58 a nd a P-value of / 0.04. A t an a = 0.0 5 le vel, wh i ch of th e following is an appropriate concl us i on? (a) There i s sufficient ev id ence to concl ude that µ < (b) There i s sufficient evidence t o co nclude th at µ = 60. (c) There i s in s ufficient ev id e n ce to conc lud e that µ = 60. There is in s ufficient ev id ence to conclude that µ 60 . There i s suffic i e nt evidence to conc lude that µ -:/:. 60 . * 60.
4. Because t proc e dures are robu st , the mo s t imp ortant condition for their use i s l. st 10.
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. tb.Jl = 1 .5 vs. H a · : µ * l .5 at a = 0.05 . A 95% confi d ence i nt e rval for µ l culated fro m a g i ve n random sa mple i s ( 1 .4, 3 . 6). B ased o n thi s find in g we fa il to reject H o . reject H o . @ cannot make any dec i s i o n at a l l beca u se the va lu e of th e t e s t stat i s tic is n o t ava i lable. (d) cannot make any de c i s ion at a ll b eca u se the d i s tri bu tion of the popu l atio n i s unk n own . (e) cann ot ma ke any decis ion at a ll because (1.4 , 3 .6) is only a 9 5% confidence in t e rval for µ.