document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152486>Question 1152486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 395 grams and a standard deviation of 22 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.)<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "a.	Highest 30 percent	<BR>\n" );
document.write( " 	 <BR>\n" );
document.write( "b.	Middle 70 percent	 to	 (2 answers)\r<BR>\n" );
document.write( "\n" );
document.write( "c.	Highest 90 percent	<BR>\n" );
document.write( " 	 <BR>\n" );
document.write( "d.	Lowest 20 percent	<BR>\n" );
document.write( " 	 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774505 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=774505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For 70th percentile or highest 30 per cent z=0.52<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "0.5244=(x-395)/22<BR>\n" );
document.write( "11.54=x-395<BR>\n" );
document.write( "x=406.54 gm \r<BR>\n" );
document.write( "\n" );
document.write( "middle 70% is from 15 to 85 per cent. Use symmetry and figure 1<BR>\n" );
document.write( "z.15 is -1.036<BR>\n" );
document.write( "-22.80=x-395<BR>\n" );
document.write( "x=372.20 gm<BR>\n" );
document.write( "the other value, the 85th percentile, is 395+22.80=417.80 gm.  That is range.\r<BR>\n" );
document.write( "\n" );
document.write( "highest 90% is z=1.282<BR>\n" );
document.write( "28.20=(x-mean)<BR>\n" );
document.write( "x=423.20\r<BR>\n" );
document.write( "\n" );
document.write( "Lowest 20% is -0.8416=z<BR>\n" );
document.write( "-18.52=x-395<BR>\n" );
document.write( "x=376.48 gm\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );