document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072439>Question 1072439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, could you please explain this to me?\r<BR>\n" );
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document.write( "A sample of n = 8 scores has a mean of M = 20.  After one score is removed from the sample, the mean is calculated to be M = 23.  The removed score must have a value greater than 20.\r<BR>\n" );
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document.write( "ANS: F<BR>\n" );
document.write( "Thanks. \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 #687346 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, could you please explain this to me?\r<BR>\n" );
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document.write( "A sample of n = 8 scores has a mean of M = 20.  After one score is removed from the sample, the mean is calculated to be M = 23.  The removed score must have a value greater than 20.\r<BR>\n" );
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document.write( "ANS: F<BR>\n" );
document.write( "Thanks. <BR>\n" );
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document.write( "That is incorrect.  <BR>\n" );
document.write( "The total for the 8 scores is 8*20 = 160\r<BR>\n" );
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document.write( "If I remove a score, call it k, from the 8, we get    160-k as the new total of the remaining 7 scores.\r<BR>\n" );
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document.write( "Now  160-k < 140   if k>20  <BR>\n" );
document.write( "and  (160-k)/7 < 140/7 (=20)  <BR>\n" );
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document.write( "If k < 20,  160-k > 140 and  (160-k)/7 > 20<BR>\n" );
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document.write( "So, if M=23 after removing one score, then the removed score must have been  LESS THAN 20.\r<BR>\n" );
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