document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976820>Question 976820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For any data set of n values with standard deviation s, every value must be within of the mean. In a class of 19 students, the heights of the students have a mean of 66.6 inches and a standard deviation of 3.0 inches. The tallest student in class, a hopeful member of the basketball team, claims to be<BR>\n" );
document.write( "78.6 inches tall. Could he be telling the truth? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598320 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=598320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P( X < 78.6 ) is determined by calculating the z-score<BR>\n" );
document.write( "z-score = (78.6 - 66.6) / 3 = 4, therefore<BR>\n" );
document.write( "P( X < 78.6 ) = 1.00 or 100%<BR>\n" );
document.write( "now <BR>\n" );
document.write( "P( X > or = 78.6 ) = 1.00 - P( X < 78.6 )<BR>\n" );
document.write( "P( X > or = 78.6 ) = 1.00 - 1.00 = 0<BR>\n" );
document.write( "The student is not telling the truth </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );