document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195262>Question 195262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local medical research association proposes to sponsor a footrace. The average time it takes to run the course is 45.8 minutes with a standard deviation of 36 minutes. If the association decides to include only the top 25% of the racers, what should be the cut off time in the tryout run? Assume the variable is normally distributed. Would a person who runs the course in 40 minutes qualify? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146618 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=146618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A local medical research association proposes to sponsor a footrace. The average time it takes to run the course is 45.8 minutes with a standard deviation of 36 minutes. If the association decides to include only the top 25% of the racers, what should be the cut off time in the tryout run? Assume the variable is normally distributed. Would a person who runs the course in 40 minutes qualify?<BR>\n" );
document.write( "67<BR>\n" );
document.write( "Find the z-value associated with the top 25% point.<BR>\n" );
document.write( "InVNorm(0.75) = 0.6745<BR>\n" );
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document.write( "Find the corresponding raw score value.<BR>\n" );
document.write( "x = zs + u<BR>\n" );
document.write( "x = 0.6745*36 + 45.8<BR>\n" );
document.write( "x = 70.08 minutes (cut-off time)<BR>\n" );
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document.write( "40 minutes? Sure<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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