document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=480975>Question 480975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. Please show all of your work when answering the following:<BR>\n" );
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document.write( "I.       Use Chebyshev’s theorem to find what percent of the values will fall between 252 and 336 for a data set with a mean of 294 and standard deviation of 14.<BR>\n" );
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document.write( "II.     Use the Empirical Rule to find what two values 95% of the data will fall between for a data set with a mean of 223 and standard deviation of 11 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329413 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=329413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please show all of your work when answering the following:\r<BR>\n" );
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document.write( "I. Use Chebyshev’s theorem to find what percent of the values will fall between 252 and 336 for a data set with a mean of 294 and standard deviation of 14.<BR>\n" );
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document.write( "(252-294)/14 = -3 <BR>\n" );
document.write( "(336-294)/15 = +3<BR>\n" );
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document.write( "According to Cheb, (1-(1/3)^2)% = 89% of the data lies within 3 standard<BR>\n" );
document.write( "deviations of the mean.<BR>\n" );
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document.write( "II. Use the Empirical Rule to find what two values 95% of the data will fall between for a data set with a mean of 223 and standard deviation of 11<BR>\n" );
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document.write( "95% of the data lies within 2 standard deviations of the mean.<BR>\n" );
document.write( "Lower limit: 223-2*11 = 201<BR>\n" );
document.write( "Upper limit: 223+2*11 = 245<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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