document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453909>Question 453909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!  This is my last math course and I am so afraid it will ruin my chances of getting my bursury.  I am getting high 80's and 90's in my other courses, but math has been such a struggle through high school.\r<BR>\n" );
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document.write( "The scholastic aptitude test (SAT) scores are normally distributed with a mean of 500 and a standard deviation of 100.\r<BR>\n" );
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document.write( "a)  What percentage of students obtain a score between 500 and 600?<BR>\n" );
document.write( "b)  If you got 725 on this test what would your percentile rank be?\r<BR>\n" );
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document.write( "Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311767 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=311767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The scholastic aptitude test (SAT) scores are normally distributed with a mean of 500 and a standard deviation of 100. <BR>\n" );
document.write( "a) What percentage of students obtain a score between 500 and 600?<BR>\n" );
document.write( "b) If you got 725 on this test what would your percentile rank be? <BR>\n" );
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document.write( "z(500) = (500-500)/100 = 0<BR>\n" );
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document.write( "z(600) = (600-500)/100 = 100/100 = 1<BR>\n" );
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document.write( "P(500< x <600) = P(0< z < 1) = 0.3413<BR>\n" );
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document.write( "z(725) = (725-500)/100 = 225/100 = 2.25<BR>\n" );
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document.write( "%ile of 725 = P(z < 2.25) = 0.9878 = 99%ile<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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