document.write( "Question 1173026: Construct the confidence interval for the population mean u.
\n" ); document.write( "c=.98​,X=15.1 , o=9.0 ​, and n= 85\r
\n" ); document.write( "\n" ); document.write( "A ​98% confidence interval for u is ?
\n" ); document.write( " ​
\n" ); document.write( "

Algebra.Com's Answer #798181 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi, ME =\"+z%2Asigma%2Fsqrt%28n%29\"
\n" ); document.write( "c=.98, X= 15.1 , o=9.0 ​, and n= 85
\n" ); document.write( "From table: DF = 85-1 = 84, , z = 2.3716
\n" ); document.write( "DF 0.1 0.05 0.02 0.01
\n" ); document.write( "83 1.6634 1.9889 2.3721 2.6364
\n" ); document.write( "84 1.6632 1.9886 \"highlight_green%282.3716%29\"
\n" ); document.write( "85 1.6630 1.9883 2.3710 2.6349
\n" ); document.write( "ME =\"+2.3716%289%29%2Fsqrt%2885%29\"= 2.31
\n" ); document.write( "CI: 15.1-2.31 < u < 15.1+2.31
\n" ); document.write( "CI: 12.79 < u < 17.41
\n" ); document.write( "Note: we used the smaller sample size z = 2.37
\n" ); document.write( "NEED to Know:
\n" ); document.write( "What is considered a Large Enough Sample Size to use z scores below
\n" ); document.write( " a a/2 2-tailed crtical regions
\n" ); document.write( "80% 0.2 10%z <-1.28155 z >+1.28155
\n" ); document.write( "90% 0.1 5% z <-1.645 z >+1.645
\n" ); document.write( "92% 0.08 4% z <-1.751 z >+1.751
\n" ); document.write( "95% 0.05 2.50% z <-1.96 z >+1.96
\n" ); document.write( "98% 0.02 1% z <-2.326 z >+2.326
\n" ); document.write( "99% 0.01 0.50% z<-2.576 z >+2.576
\n" ); document.write( " \n" ); document.write( "
\n" );