Midterm Solutions

Midterm Solutions - ¯ X = $42, 500 µ ￿= 50, 000 s =...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ¯ X = $42, 500 µ ￿= 50, 000 s = $20, 000 α = 0.10 H0 : µ = 50, 000 HA : µ ￿= 50, 000 t = = = x − µ0 ¯ √ s/ n 42500 − 50000 √ 20000/ 20 −1.677 0.10 < p − value < 0.20 p − value > α n ≥ ≥ ≥ 2 zα/2 0.25 E2 1.962 0.25 0.0252 1526.64 n = 200 p = 0. 7 ˆ p± ¯ 0.7 ± 0.7 ± ￿ zα / 2 ￿ 1.96 p(1 − p) ¯ ¯ n 0.7(0.3) 200 0.0635 (0.6335, 0.7635) ¯ nSF = 15; XSF = $1, 200; sSF = $200 ¯ nP A = 12; XP A = $1, 050; sP A = $175 H0 : HA : t µSF = µP A µSF ￿= µP A = = ¯ ¯ (XSF − XP A ) − 0 ￿2 sSF s2 A P nSF + nP A 1200 − 1050 ￿ 2002 1752 15 + 12 = df 2.08 = min 15 − 1, 12 − 1 = 11 0.025 < one tail < 0.05 0.05 < p − value < 0.10 α = 0.05 p − value > α H0 P layer 1 Online 10 Casino 8 Dif f erence −2 2 15 10 −5 3 −5 0 5 45 08 23 2 −5 6 4 −5 −9 α = 0.10 H0 : µd = 0 HA : µd ￿= 0 t = = = ¯ d − µd √ sd / n −2.625 − 0 √ 4.75/ 8 −1.56 0.05 < < 0.10 0.10 < α one tail p − value < 0.20 H0 7 −3 −10 −7 8 −2 −2 0 pD − pC ≤ 0 H0 : pD − pC > 0 HA : z = = = ￿ (¯D − pC ) − 0 p ¯ p(1 − p)( n1 + ¯ ¯D 1 nC ) (0.41667 − 0.36667) − 0 ￿ 1 1 0.392(0.608)( 300 + 300 ) 1.25 α = 0.05 p − value > α ...
View Full Document

Ask a homework question - tutors are online