document.write( "Question 674913: Could someone please help me with this stats problem I do not understand it at all.. Thanks in advance.\r
\n" ); document.write( "\n" ); document.write( "A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 99% confident that her estimate is correct.If the standard deviation is 4.09, how large a sample is needed to get the desired information to be accurate within 0.53 decibels? Show all work
\n" ); document.write( "

Algebra.Com's Answer #419540 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 99% confident that her estimate is correct.If the standard deviation is 4.09, how large a sample is needed to get the desired information to be accurate within 0.53 decibels?
\n" ); document.write( "------
\n" ); document.write( "Since E = z*s/sqrt(n),
\n" ); document.write( "---
\n" ); document.write( "n = [z*s/E]^2
\n" ); document.write( "-----
\n" ); document.write( "The z-value associated with 99% comfidence is invNorm(0.995) = 2.5758
\n" ); document.write( "----
\n" ); document.write( "Your Problem:
\n" ); document.write( "n = [2.5758*4.09/0.53]^2 = 396 when rounded up.
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );