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O Take a Test dis Hanehon Google Cheome &Secure; htps//www.mathel.com/Student/Pl

ID: 3067104 • Letter: O

Question

O Take a Test dis Hanehon Google Cheome &Secure; htps//www.mathel.com/Student/PlayerTest.anpxPtestid-1761071208centerwin syes Julia Harrelson&1 MAUSI 2113 501 Speing 2018 Time Limit: 00 550 Quiz: Quiz: Chapter 8 This Quiz 67(5 completa) a Uise he one-mean eterval procindure with te sample mean sangle sice sanple standrd devation and contdence level gven b t. Ottan he marpn of error by targ hof he ?ghofther condence rterval below to tind a coridence interval for the mean of the population trom wich the sample was drawn i-26 coeldende leve: 9% The 95% contdence interval about Pel®o( Round to three decmal places as needed) b. The margin of enor found by takung hall the length of the confidence interval is Round to three decimal piaces as needed) The margin of emor tound by using the tormula D Round to three decimal places as needed) ter your answer in each of the anwer boves Type here to search DOLL

Explanation / Answer

Solution:- Given that X = 26, n = 25 , s = 3 , confidence level = 95%

df = n-1 = 25 - 1 = 24
t = 2.064
a) The 95% confidence interval about = X +/- t*s/sqrt(n)
= 26 +/- 2.064*3/sqrt(25)
= 24.7616 , 27.2384
= 24.762 , 27.238(rounded)

b) The margin of error found by taking half the length of the confidence interval
= (27.238 - 24.762)/2 = 1.238

c) The margin of error found by using the formula = t*s/sqrt(n)
= 2.064*3/sqrt(25)
= 1.2384
= 1.238(rounded)