document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411555>Question 411555</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a study of elite competitive milers, it was determined that the average time for the mile was 4.00 minutes with a standard deviation of 06 seconds.  A friend of yours is training in hopes of becoming an elite miler.  Therefore, s/he asked you, as a statistician, to determine the times required to meet the following placements.  Answers must be in minutes.<BR>\n" );
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document.write( "a.	The minimum mile time that would place you in the slowest 10%.<BR>\n" );
document.write( "b.	Between what mile times would place you in the middle 50% of the milers.<BR>\n" );
document.write( "c.	The mile time that would place you exactly in the middle of the elite milers.<BR>\n" );
document.write( "d.	The maximum time that would place you in the fastest 10% of the milers.\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 #289295 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=289295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a study of elite competitive milers, it was determined that the average time for the mile was 4.00 minutes with a standard deviation of 06 seconds.  A friend of yours is training in hopes of becoming an elite miler.  Therefore, s/he asked you, as a statistician, to determine the times required to meet the following placements.  Answers must be in minutes.<BR>\n" );
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document.write( "a.	The minimum mile time that would place you in the slowest 10%.<BR>\n" );
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document.write( "Find the z-value with a left-tail of 10%<BR>\n" );
document.write( "invNorm(0.10) = -1.2816<BR>\n" );
document.write( "Find the corresponding x-value<BR>\n" );
document.write( "x = zs + u<BR>\n" );
document.write( "x = -1.2816*0.06 + 4<BR>\n" );
document.write( "x = 3.926 minutes<BR>\n" );
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document.write( "b.	Between what mile times would place you in the middle 50% of the milers.<BR>\n" );
document.write( "Use the z-score with a left tail of 25%<BR>\n" );
document.write( "Use the z-score with a left tail of 75%<BR>\n" );
document.write( "Follow the procedure used in problem \"a\".<BR>\n" );
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document.write( "c. The mile time that would place you exactly in the middle of the elite milers.<BR>\n" );
document.write( "Find the x-score corresponding to z=0<BR>\n" );
document.write( "Ans: 4 minutes<BR>\n" );
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document.write( "d.	The maximum time that would place you in the fastest 10% of the milers.<BR>\n" );
document.write( "Find the z-score with a left-tail of 90%<BR>\n" );
document.write( "Then find the corresponding x-value.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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