document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891156>Question 891156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Again I am unsure where to place this question but any help would be amazing.\r<BR>\n" );
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document.write( "Assume that a normal distribution of data has a mean of 11 and a standard deviation of 2. Use the 68-95-99.7 Rule to find the percentage of values that lie above 9.\r<BR>\n" );
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document.write( "What percentage of values lie above 9? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539572 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=539572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 68 is within 1 standard deviation.<BR>\n" );
document.write( "95 is within 2 standard deviations.<BR>\n" );
document.write( "99 is within 3 standard deviations.\r<BR>\n" );
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document.write( "i believe that's the rule.\r<BR>\n" );
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document.write( "you have a mean of 11 and a standard deviation of 2.\r<BR>\n" );
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document.write( "you want to find the percentage of values that lie above 9.\r<BR>\n" );
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document.write( "your z score is equal to (x-m/s where x = 9, m = 11, s = 2\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "z = (9 - 11) / 2 = -2/2 = -1.\r<BR>\n" );
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document.write( "your z score is 1 standard deviation below the mean.\r<BR>\n" );
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document.write( "this would fall under the 68 rule, except you can't use the rule as is.\r<BR>\n" );
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document.write( "you have to do some logical analysis.\r<BR>\n" );
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document.write( "68% of the data is within 1 standard deviation from the mean.\r<BR>\n" );
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document.write( "this means the z score of the data has a low value of -1 and a high value of +1\r<BR>\n" );
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document.write( "so 68% of the data is between a z score of -1 and a z score of 1.\r<BR>\n" );
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document.write( "this means that 32% of the data lies outside this range.\r<BR>\n" );
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document.write( "this is evenly split between the low side and the high side.\r<BR>\n" );
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document.write( "this means that 16% of the data lies below a standard deviation of -1 and 16% of the data lies above a standard deviation of 1.\r<BR>\n" );
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document.write( "your data has a z score of -1\r<BR>\n" );
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document.write( "this means that 16% of your data lies below a z score of -1 and 68% + 16% = 84% of your data lies above a z score of -1.\r<BR>\n" );
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document.write( "they want to know the percentage of values that lie above 9.\r<BR>\n" );
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document.write( "that would be 84%\r<BR>\n" );
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document.write( "here's a picture of what I mean.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/080501.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the 68-95-99 rule is an approximation.\r<BR>\n" );
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document.write( "the calculations shown in the picture are more exact.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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