document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188012>Question 1188012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.9 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.\r<BR>\n" );
document.write( "\n" );
document.write( "a. What is the distribution of X? X ~ N(<BR>\n" );
document.write( "9.5<BR>\n" );
document.write( "Correct,<BR>\n" );
document.write( ".9<BR>\n" );
document.write( "Correct) \r<BR>\n" );
document.write( "\n" );
document.write( "b. Find the probability that this American man consumes between 9.2 and 10.9 grams of sodium per day. <BR>\n" );
document.write( ".5707<BR>\n" );
document.write( "Correct \r<BR>\n" );
document.write( "\n" );
document.write( "c. The middle 20% of American men consume between what two weights of sodium?<BR>\n" );
document.write( "Low: \r<BR>\n" );
document.write( "\n" );
document.write( "High: <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 #819168 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=819168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the middle 20% is between the 40th and 60th percentiles or z=-0.253 to z=+0.253<BR>\n" );
document.write( "0.253=(x-mean)/sd for upper limit<BR>\n" );
document.write( "0.253=(x-9.5)/0.9<BR>\n" );
document.write( "0.2280=x-9.5<BR>\n" );
document.write( "x=9.7280 gms upper limit. Symmetrical here so lower limit is 9.2720 gms.<BR>\n" );
document.write( "(9.2720, 9.7280) gms </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );