document.write( "Question 1130372: Let μ = 160 and σ = 16. (See Example 6.)
\n" ); document.write( "(a) Find the z-score for the score 180.
\n" ); document.write( "
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "(b) Find the z-score for the score 130.
\n" ); document.write( "
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "(c) Find the z-score for the score 160.
\n" ); document.write( "
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "(d) Find the score x if the z-score = 1.
\n" ); document.write( "x =
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "(e) Find the score x if the z-score = −0.875.
\n" ); document.write( "x =
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #747105 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( " Let\"mu+=+160+\" and \"delta+=+16\". (See Example 6.)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(a) Find the z-score for the score \"180\".\r
\n" ); document.write( "\n" ); document.write( "let the score be \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"z=%28x-mu%29%2Fdelta\"\r
\n" ); document.write( "\n" ); document.write( "\"z=%28180-160%29%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"z=20%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"z=5%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"z=1.25\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(b) Find the z-score for the score \"130\".\r
\n" ); document.write( "\n" ); document.write( "\"z=%28x-mu%29%2Fdelta\"\r
\n" ); document.write( "\n" ); document.write( "\"z=%28130-160%29%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"z=-30%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"z=-1.875\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(c) Find the z-score for the score \"160\".\r
\n" ); document.write( "\n" ); document.write( "\"z=%28x-mu%29%2Fdelta\"\r
\n" ); document.write( "\n" ); document.write( "\"z=%28160-160%29%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"z=0%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"z=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(d) Find the score \"x\" if the z-score = \"1\".\r
\n" ); document.write( "\n" ); document.write( "\"1=%28x-160%29%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"16=x-160\"\r
\n" ); document.write( "\n" ); document.write( "\"16%2B160=x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=176\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(e) Find the score \"x\" if the z-score =\"+-0.875\".\r
\n" ); document.write( "\n" ); document.write( "\"-0.875=%28x-160%29%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"-0.875%2A16=x-160\"\r
\n" ); document.write( "\n" ); document.write( "\"-14=x-160\"\r
\n" ); document.write( "\n" ); document.write( "\"-14%2B160=x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=146\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );