document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201632>Question 1201632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A distribution of values is normal with a mean of 58.2 and a standard deviation of 40.3.\r<BR>\n" );
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document.write( "Find P35, which is the score separating the bottom 35% from the top 65%.<BR>\n" );
document.write( "P35 = \r<BR>\n" );
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document.write( "Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836100 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=836100\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> using a normal distribution calculator, this is easy to find.<BR>\n" );
document.write( "here are the results from usig the calculator as <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a><BR>\n" );
document.write( "first with raw scores.<BR>\n" );
document.write( "next with z-scores.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/041202.jpg\">\r<BR>\n" );
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document.write( "if you're working with raw scores, you enter the mean and standard deviation.\r<BR>\n" );
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document.write( "if you're working with z-cores, the mean is 0 and the standard deviation is 1.\r<BR>\n" );
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document.write( "if you are looking for an individual score, as in this problem, the standard deviation is appropriate.\r<BR>\n" );
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document.write( "if you are looking for the mean of a sample of a specific size, then the standard error needs to be used.\r<BR>\n" );
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document.write( "standard error = standard deviation / square root of sample size.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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