document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099079>Question 1099079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability of a given score range is 0.4893. <BR>\n" );
document.write( "The bottom of the score range is the average (z=0).<BR>\n" );
document.write( " What is the z-score for the upper end of the distribution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713496 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=713496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think you are looking for the z-score which has an area of .4893 between the mean and it.\r<BR>\n" );
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document.write( "since the normal distribution is symmetric about the mean, this mean that the z-score will have .4893 + .5 = .9893 area of the distribution curve to the left of it.\r<BR>\n" );
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document.write( "that would correspond to a z-score of 2.301\r<BR>\n" );
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document.write( "the following pictures show you what i mean.\r<BR>\n" );
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document.write( "the first picture shows that the z-score that has an area of .9893 to the left of it is 2.301.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/102610.jpg\" alt=\"$$$$\" >\r<BR>\n" );
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document.write( "the second picture shows that if you enter the z-score of 2.301 and ask for the area to the left of it, that area will be .9893.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/102611.jpg\" alt=\"$$$$\" >\r<BR>\n" );
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document.write( "the third picture shows that if you enter the z-score of 2.301 and ask for the area between the mean (z-score of 0) and the z-score of 2.301, that area will be .4893.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/102612.jpg\" alt=\"$$$$\" >\r<BR>\n" );
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document.write( "note that the first picture is looking to find the z-score from a given area, so you select the \"value from an area\" option.\r<BR>\n" );
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document.write( "note that the second and third picture is looking to find the area from the given z-score, so you select the \"area from a value\" option.\r<BR>\n" );
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document.write( "this particular z-score calculator can be found at <a  rel=nofollow HREF= \"http://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">http://davidmlane.com/hyperstat/z_table.html</a> </SPAN>\n" );
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