document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=993924>Question 993924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 125 and a standard deviation equal to 46. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass?\r<BR>\n" );
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document.write( "Set lowest passing score to </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613192 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you want a critical z-factor such that less than 2.5% will pass.\r<BR>\n" );
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document.write( "look up in the z-score table for a z-score that has an area to the left of it of (1 - .025) = .975\r<BR>\n" );
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document.write( "that z-factor will be your critical z-factor and the value will be 1.96.\r<BR>\n" );
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document.write( "the formula for z-score is z = (x - m) / s\r<BR>\n" );
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document.write( "z is the z-score<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation\r<BR>\n" );
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document.write( "since you know z and m and s, you can solve for x.\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "1.96 = (x - 125) / 46\r<BR>\n" );
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document.write( "solve for x to get x = 215.16\r<BR>\n" );
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document.write( "that's the score they need to pass.\r<BR>\n" );
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document.write( "here's a picture of what that looks like.\r<BR>\n" );
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document.write( "the first picture is the z-factor.<BR>\n" );
document.write( "the second picture is the raw score.\r<BR>\n" );
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document.write( "the area of the normal distribution curve that is covered is shown in the picture and in digits at the bottom.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/100301.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/100302.jpg\" alt=\"$$$\" </> </SPAN>\n" );
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