Question

Suppose a sample of 49 paired differences that have been randomly selected from a nomally distributed population of paired differences yeids a sample mean of 2t-5and a sample standand deviation of s a) Calculate a 95 percent confidence interval for pa P-Pa-(Round your answers to 2 decimal places 299。. 701 이 Cotoncerterval. [ versus the atermative hypothesis H a 7 0 by setting 7 equal to 10, 05,01, and 001. How much evidence is there that ers fom (b) Test the null hypothesis H:a 505 0 BO evidence tat dners san ofthe dterence between μ, andP2? ○Round yourpolie answer to 4 decimal places.) say about 0256 0 20,p.

Answer 1

ditterence mcar,d-s nor mal dislv bution able, evalue o having a -t 2-0)) 7S d ence interval ;亼 S±2-011 (2-99, ,01) We are as*/. con t, dent that rhe ditcrc nce bereen μ'and lies bekeer 2-19 and チ·。1 and hence, we are857, Confide elueen

t=s farce from tdibuton able, he arta in the upper in The upper tail to fhe right 아 ltsy) and bo.(dfwg) -given Fo eadr ot the above itcenre levels,ue obnerve lem lhan The ign cence level Hence, thene cient evidence to reet Ho or all ;ㅅ .,nsubticient te above igaiticance levels 仄e d:bteven ce that bel~. een S o, we Co clude HiGnd μ'and equal to c

c) P- value 25 L level, Signifcance o.os, ο-οι,O-Oo/ α= 0-10, ue ob Berve that → Reject H。 P-value <o-o5 P-value o.O Do not cet Nul hypohes ecled α 0,10, 0,05 -TheyCbDYe , at Agnificance leve l^ 아 o-10 and o.os, we have nce to Corclu Aubbǐcient evidence to con clude that ea Hd ezcceds 3.