document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542613>Question 542613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The times for completing one circuit of a bicycle course are normally distributed with a mean of 80.3 minutes and a standard deviation of 7.8 minutes. An association wants to sponsor a race and provide prizes for the top 15% of riders. Where should they expect to set the cutoff time to earn a prize?<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 #354641 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=354641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The times for completing one circuit of a bicycle course are normally distributed with a mean of 80.3 minutes and a standard deviation of 7.8 minutes. An association wants to sponsor a race and provide prizes for the top 15% of riders. Where should they expect to set the cutoff time to earn a prize?\r<BR>\n" );
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document.write( "Find z-value with a left tail of 0.85<BR>\n" );
document.write( "invNorm(0.85) = 1.0364<BR>\n" );
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document.write( "Find the correspondiing raw score value using x = zs+u<BR>\n" );
document.write( "x = 1.0364*7.8+80.3<BR>\n" );
document.write( "x = 88.38 munutes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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