document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162405>Question 162405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I really do need your help on this one.  Thanks Rivers\r<BR>\n" );
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document.write( "Assume that house prices in a neighborhood are normally distributed with standard deviation $20,000. A random sample of 16 observations is taken. What is the probability that the sample mean differs from the population mean by more than $5,000?\r<BR>\n" );
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document.write( "a. 0.3174 <BR>\n" );
document.write( "b. 0.1587 <BR>\n" );
document.write( "c. 0, because it is assumed that the sample mean is equal to the population mean in a normally distributed population. <BR>\n" );
document.write( "d.Cannot be determined from the information given.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119703 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=119703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that house prices in a neighborhood are normally distributed with standard deviation $20,000. A random sample of 16 observations is taken. What is the probability that the sample mean differs from the population mean by more than $5,000?<BR>\n" );
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document.write( "Mean of the sample means = u<BR>\n" );
document.write( "Standard deviation of the sample means = 20000/sqrt(16) = 5000<BR>\n" );
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document.write( "You want the probability of the mean of a sample of size 16 being<BR>\n" );
document.write( "less than 15000 or greater than 25000.<BR>\n" );
document.write( "That probability is the same as the probability that \"z\" is less than<BR>\n" );
document.write( "-1 or greater than 1.  That probability is 0.3173105....<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "a. 0.3174 <BR>\n" );
document.write( "b. 0.1587 <BR>\n" );
document.write( "c. 0, because it is assumed that the sample mean is equal to the population mean in a normally distributed population. <BR>\n" );
document.write( "d.Cannot be determined from the information given.<BR>\n" );
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