document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158700>Question 1158700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80\r<BR>\n" );
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document.write( "In a recent year, the national mean score for the writing section was <BR>\n" );
document.write( "52.0, with a standard deviation of 10.3\r<BR>\n" );
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document.write( "Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. \r<BR>\n" );
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document.write( "(a) According to Chebyshev's theorem, at least ___% of the scores lie between 31.4 and 72.6 .<BR>\n" );
document.write( "(b) According to Chebyshev's theorem, at least ___%  of the scores lie between 26.25 and 77.75 .<BR>\n" );
document.write( "(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ___%  of the scores lie between 31.4 and 72.6 .<BR>\n" );
document.write( "(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the scores lie between ___and___. \r<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 #781685 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. is between +/- 2 sd . Chebyshev's says that 1-(1/sd^2) will be within this range for certain, and that is 1-(1/4) or 3/4.<BR>\n" );
document.write( "b. is between +/- 2.5 sd. This means that (1- 1/6.25) will be within this range for certain, or 0.84 of the values<BR>\n" );
document.write( "c. would be 95% for 2 sd s<BR>\n" );
document.write( "d. would b +/- 1 sd s or between 41.7 and 62.3 (52.0+/-10.3) </SPAN>\n" );
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