document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112177>Question 1112177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The AC Nielsen Company reported in the Nielsen Report on Television that the distribution of weekly television viewing time for children aged 2-11 years is normally distributed with a mean of 24.5 hours and a standard deviation of 6.23 hours.\r<BR>\n" );
document.write( "\n" );
document.write( "Draw a complete graph of each situation and find the answer.\r<BR>\n" );
document.write( "\n" );
document.write( "a. What percent of children aged 2 – 11 watch more than 30 hours per week?\r<BR>\n" );
document.write( "\n" );
document.write( "b. What percent of children aged 2 – 11 watch fewer than 10 hours per week?\r<BR>\n" );
document.write( "\n" );
document.write( "c. What percent of children aged 2 – 11 watch between 20 and 25 hours per week?\r<BR>\n" );
document.write( "\n" );
document.write( "d. How many hours of TV watching per week defines the children who are in the top 10%?\r<BR>\n" );
document.write( "\n" );
document.write( "e. What are the three quartiles for the distribution described above? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727183 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=727183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Normal curve has mean at 24.5, and -1sd at 18.27, -2sd at 12.04, and -3 sd at 5.81.  It has + 1sd at 30.73, +2sd at 36.96 and +3sd at 43.19<BR>\n" );
document.write( "a. z=(x-mean)/sd, which is z > (30-24.5)/6.23 or z > 0.88, probability is 0.1887<BR>\n" );
document.write( "b. z <  (10-24.5)/6.23 or z < -2.33, probability is 0.0100<BR>\n" );
document.write( "c. z between -0.72 and +0.08, probability is 0.2961<BR>\n" );
document.write( "d. top 10% is z=+1.28 or 7.97 above the mean or greater than 32.47 or 32.5<BR>\n" );
document.write( "e.  1 and 3 quartiles are +/- z=0.674 or +/- 4.20<BR>\n" );
document.write( "Q1 is 20.3<BR>\n" );
document.write( "Q2 is 24.5<BR>\n" );
document.write( "Q3 is 28.7 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );