document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192061>Question 1192061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The fill amount in 2-liter soft drink bottles is normally distributed, with a mean of 2.0 liters and a <BR>\n" );
document.write( "standard deviation of 0.05 liter. If bottles contain less than 95% of the listed net content (1.90 liters, in <BR>\n" );
document.write( "this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles <BR>\n" );
document.write( "that have a net content above 2.10 liters may cause excess spillage upon opening. What proportion of <BR>\n" );
document.write( "the bottles will contain<BR>\n" );
document.write( "a. between 1.90 and 2.0 liters?<BR>\n" );
document.write( "b. between 1.90 and 2.10 liters?<BR>\n" );
document.write( "c. below 1.90 liters or above 2.10 liters?<BR>\n" );
document.write( "d. At least how much soft drink is contained in 99% of the bottles?<BR>\n" );
document.write( "e. 99% of the bottles contain an amount that is between which two values (symmetrically distributed) around <BR>\n" );
document.write( "the mean?\r<BR>\n" );
document.write( "\n" );
document.write( "I've solved the first four question, only need help with the last one. <BR>\n" );
document.write( "Thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823949 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=823949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 99% half-interval around the mean is z(0.995)*sigma/sqrt(n)<BR>\n" );
document.write( "=2.576*0.05<BR>\n" );
document.write( "=0.1288 or 0.13 l,<BR>\n" );
document.write( "(1.87, 2.13) liters will be found in 99% of the bottles. </SPAN>\n" );
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