Question

A random sample of n= 100 observations is selected from a population with u = 29 and o = 21. Complete parts a through f. Click the icon to view the table of normal curve areas. a. Find 4; and on Hi = 29 0;= 2.1 (Round to one decimal place as needed.) b. Describe the shape of the sampling distribution of x. O A. Skewed right B. Approximately normal OC. Skewed left D. Uniform distribution c. Find PIX 228) PIX228) - 0.6844 (Round to four decimal places as needed.) d. Find P(22.1sx526.8). P(22.15x526.8)= (Round to four decimal places as needed.)

Answer 1

beeno = P (-0.2379 < Xall Sch. 104761) = P(-0.2379 223 -1-104761) . =P (0.2379> 27 1. 104761) (due to symete = 1- P (2<-0.2379) - P(Z < -1-1047) 1- P(Z) 0.2379) - P (2>1.1047) = 1 -0.910 -0.3643 = -0.2743

Solution - Given - n=100 u=29 6=21 @ Ma = 29 6x - 21.00 Describe the shape of the sampling disthor » Appeoximatly no Emal. @ P ( x 7, 28) P/xall> 28-29) 6 S 21 004 00.4 CO = P (27,0.0476190) = P(Z < 0.0476190) (due to symmery) 0.0476igo yo.05 = 0.48008 o.olgg by the table P(22-13226.8.) P(22.1-29, x-lls 26.8-29 ) =P (-69 stol <- 1. 104761