document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190149>Question 1190149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean age of students at a high school is 16.5 with a standard deviation of 0.7 you use the standard normal table to determine that the probability of selecting one student at random whose age is more than 17.5 years is about 8% what is the error in this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821734 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52793)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The mean age of students at a high school is 16.5 with a standard deviation of 0.7 <BR>\n" );
document.write( "you use the standard normal table to determine that the probability of selecting <BR>\n" );
document.write( "one student at random whose age is more than 17.5 years is about 8% <BR>\n" );
document.write( "what is the error in this problem?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I want to convince you that the statement in the post is non-sensical.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let consider one academic year, let say from September to May, inclusive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In the post, the mean age is considered as a real number continuous variable (since it uses decimals etc.)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But this \"mean\" (defined and used this way as a real decimal number) CHANGES during the academic year,\r<BR>\n" );
document.write( "\n" );
document.write( "which is not reflected in the problem.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Again: during the academic year, such a conception <BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;as a mean students age does not exist as a fixed real continuous decimal variable. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I do not know if I answered your question - - - it was not my goal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "My goal was to explain that the conception does not exist, which is discussed in the post.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );