document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041959>Question 1041959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean value of land and buildings per acre from a sample of farms is $1700, with a standard deviation of $100. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 77. \r<BR>\n" );
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document.write( "A) Use the empirical rule to estimate the number of farms whose land and building value per acre are between $1600 and $1800?\r<BR>\n" );
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document.write( "B) If 25 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between $1600 per acre and $1800 per acre?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656873 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean value of land and buildings per acre from a sample of farms is $1700, with a standard deviation of $100. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 77. <BR>\n" );
document.write( "A) Use the empirical rule to estimate the number of farms whose land and building value per acre are between $1600 and $1800?<BR>\n" );
document.write( "z(1600) = (1600-1700)/(100) = -1<BR>\n" );
document.write( "z(1800) = (1800-1700) = +1<BR>\n" );
document.write( "p(1600-1800) = p(-1< z < +1) = 0.6827<BR>\n" );
document.write( "Ans:: 0.6827*77 = 53 when rounded up<BR>\n" );
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document.write( "B) If 25 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between $1600 per acre and $1800 per acre? <BR>\n" );
document.write( "Ans: 0.6827*25 = 17<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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