document.write( "Question 418778: Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is\r
\n" ); document.write( "\n" ); document.write( "d) There is a 65% chance that X bar is above what value?
\n" ); document.write( "

Algebra.Com's Answer #293009 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is
\n" ); document.write( "d) There is a 65% chance that X bar is above what value?
\n" ); document.write( "---
\n" ); document.write( "Find the t-value with a left-tail of 65%
\n" ); document.write( "invT(0.65 when df = 24) = 0.3900
\n" ); document.write( "---
\n" ); document.write( "Find the corresponding x-bar using x-bar = ts+u
\n" ); document.write( "---
\n" ); document.write( "x-bar = 0.3900 + 103 = 104.56
\n" ); document.write( "===========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============
\n" ); document.write( "
\n" ); document.write( "
\n" );