document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453028>Question 453028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The speed limit in the state of Ohio is 55 miles per hour.  On a certain stretch of interstate highway the mean speed of traffic (as checked by radar) is 58 miles per hour with a standard deviation of 4 miles per hour.  The speeds of vehicles on this section of highway are normally distributed.\r<BR>\n" );
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document.write( "What percentage of vehicles are exceeding the speed limit?\r<BR>\n" );
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document.write( "Above what speed are the top 5% of the speeders travelling?\r<BR>\n" );
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document.write( "Thanks so much for your help!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311285 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=311285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The speed limit in the state of Ohio is 55 miles per hour. On a certain stretch of interstate highway the mean speed of traffic (as checked by radar) is 58 miles per hour with a standard deviation of 4 miles per hour. The speeds of vehicles on this section of highway are normally distributed. <BR>\n" );
document.write( "What percentage of vehicles are exceeding the speed limit? <BR>\n" );
document.write( "Above what speed are the top 5% of the speeders travelling? <BR>\n" );
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document.write( "Find the z-value with a right tail of 5%:<BR>\n" );
document.write( "z = 1.645<BR>\n" );
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document.write( "Find the corresponding speed value:<BR>\n" );
document.write( "x = zs+u<BR>\n" );
document.write( "x = 1.645*4+58<BR>\n" );
document.write( "x = 64.58 mph<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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