document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082107>Question 1082107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The amount of tea leaves in a can from a particular production line is normally distributed with &#956; = 110 grams and &#963;= 25 grams. A sample of 25 cans is to be selected. So, the middle 70% of all sample means will fall between what two values? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696190 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=696190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The z-value for 0.1500 is -1.035 from the table.<BR>\n" );
document.write( "So for the middle 70%, it is between -1.035 and +1.035<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "1.035*sd=(x-mean)<BR>\n" );
document.write( "25.875=x-mean<BR>\n" );
document.write( "x=110+25.875 or 135.875 top end<BR>\n" );
document.write( "x=110-25.875 or 84.125 bottom end<BR>\n" );
document.write( "range of middle 70% is (84, 136) gms </SPAN>\n" );
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