document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066528>Question 1066528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Heights of men on a baseball team have a&#8203; bell-shaped distribution with a mean of 169 cm and a standard deviation of 6 cm. Using the empirical&#8203; rule, what is the approximate percentage of the men between the following&#8203; values;<BR>\n" );
document.write( "a. 151 cm and 187 cm<BR>\n" );
document.write( "b. 157 cm and 181 cm\r<BR>\n" );
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document.write( "can you please show steps so I can understand how to solve this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681800 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=681800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "mean is 169 and sd is 6<BR>\n" );
document.write( "x is the value given<BR>\n" );
document.write( "z=(151-169)/6 and that is -18/6 or -3<BR>\n" );
document.write( "z=(187-169)/6=18/6=3<BR>\n" );
document.write( "so you want z to be between -3 and 3. That is by the empirical rule 99.7%<BR>\n" );
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document.write( "For 157 and 181<BR>\n" );
document.write( "z=(157-169)/6=-2, because -12/6=-2<BR>\n" );
document.write( "z=(181-169)/6=2<BR>\n" );
document.write( "That is z between -2 and 2, which by the empirical rule is 95% </SPAN>\n" );
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