document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612428>Question 612428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> U.S. Bureau of the Census data reveal the largest town in the State of OH has a population of one million families.  The data show that acreage owned per family is normally distributed with a mean of 10.0 acres and a standard deviation of 1.5 acres.  Calculate the following:\r<BR>\n" );
document.write( "\n" );
document.write( "a.	The percentage of families that own at least 8.1 acres.<BR>\n" );
document.write( "b.	The number of families that own at least 8.1 acres.<BR>\n" );
document.write( "c.	The percentage of families that own between 7.0 and 8.1 acres.<BR>\n" );
document.write( "d.	The minimum acreage owned by the 5% of families owning the largest amount of acreage.<BR>\n" );
document.write( "e.	If one family from the State of OH is selected at random, what is the probability that family owns more than 8.1 acres or less than 7.0 acres?<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 #385459 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=385459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 3 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi, <BR>\n" );
document.write( "mean of 10.0 acres and a standard deviation of 1.5 acres.<BR>\n" );
document.write( "using Excel function: NORMSDIST<BR>\n" );
document.write( "a. percentage of families that own at least 8.1 acres: NORMSDIST(-.2667)· 100 = 10.263%<BR>\n" );
document.write( "b. The number of families that own at least 8.1 acres:   .10263(1M) = 102,630<BR>\n" );
document.write( "c. The percentage of families that own between 7.0 and 8.1 acres.   <BR>\n" );
document.write( " (NORMSDIST(-.2667) - NORMSDIST(-2.00))100 = (.10263 -.02275)100 = 7.988% <BR>\n" );
document.write( "d. The minimum acreage owned by the 5% of families owning the largest amount of acreage.<BR>\n" );
document.write( "using Excel function: NORMSINV(0.05), z = -1.6449<BR>\n" );
document.write( " -1.6449 = (X-10)/1.5<BR>\n" );
document.write( "     7.5327 Acres = X<BR>\n" );
document.write( "e. If one family from the State of OH is selected at random, what is the probability that family owns more than 8.1 acres or less than 7.0 acres?<BR>\n" );
document.write( "P= (1-.1026) + .0228 = .9202<BR>\n" );
document.write( "  <BR>\n" );
document.write( " <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );