Question

(20pts for turned in on time) Danail 1. (16pts, 2pts each in most of the practical problems, we don't know population standard deviation. Sot test is much more useful than a test, since it doesn't require a known population standard deviation. For the following scenario, please provide the appropriate p value (keep in mind that p-value is always dependent on the alternative hypothesis Hal (1) Hau > Hy, sample size = 10, and t - 3.576 dot - 9 P-value & PCT L-1+1) 3.355 -3.833 0.05LPL 0025 (2) Ha: > Hp, sample size - 15, and t - 2.253 3.264 de = 11 2.145 P(TL-1+1) v.assps6.02 (3) Ha: <H, sample size = 17, and t -3.564 dt=166 PCTL-3.564) 3.250 3.686 0.0025LPL0.001 PCT73.564 (4) Ha: <He sample size = 13, and t = 2.145 of=1a PLT > 2.145) 0.25 0.005 0.0025 (5) Haru* Ho, sample size = 24, and t = 3.002 dt=23 QP (TL-3.002) T> 3.000 (6) Haru* Ho, sample size = 20, and t-3.156 df =19 2 (P (Ts - 1.3.1561) 0.005 0.00% (7) Ha: u = H, sample size = 2000, and t-3.156 df = 1999. - 2PCTC -3.156) > 3.156 0.02 0.ul (8) Ha: u > Hy, sample size = 26, and t=2.432 df = 25 PITC -2.432) T).2.432

Answer 1

L 1) Ho: Mslo n=10 € = 3.6 76 - Paralue=P[top 3.576 = 0.003 From fatable a Hellslo n=1 t=2.263 3.67 - 2013 Pevalue=P [ 14 >2-253 D O0204 - 9) He: Malo ns 17 to -3.564 I I - Pvålue = P{this <-3.684] 8.0 Do0013 Pa 4) Hallon 13 t= 2.146 of Parabee = PL tap< 20 146 ] - O.9734 5 Halt Non=24 t = 3.002 . -Zelbo Pavalue= Pritoul> 13.002] Prt <-3.002]+ PA+ >3.002] = 0.0 0.64 cal 6 Hall allo n=20 += 3:156 Pralee = Peltig 1 >/-3.1561 I =P[t<-3.168] + P[t>3-156] = 0.oona 7 Holz Mo n=2000 f2-3-156 Pevalue=P[ltigul> 1-311661 = 2 P[t> Zult56] = 0.0016 8 Ho: ello no 26 ta 2.432 245 Pevalue= P[tan 2-4327 = 0.0113 1 1 1 26ed UUD O .