document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059212>Question 1059212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of <BR>\n" );
document.write( "100<BR>\n" );
document.write( "items is selected from a population of size <BR>\n" );
document.write( "350. <BR>\n" );
document.write( "What is the probability that the sample mean will exceed <BR>\n" );
document.write( "199<BR>\n" );
document.write( "if the population mean is <BR>\n" );
document.write( "195<BR>\n" );
document.write( "and the population standard deviation equals <BR>\n" );
document.write( "25? <BR>\n" );
document.write( "Hint: Use the finite population correction factor since the sample size is more than; 5% of the population size.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674290 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=674290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A random sample of 100items is selected from a population of size 350. <BR>\n" );
document.write( "What is the probability that the sample mean will exceed 199<BR>\n" );
document.write( "if the population mean is 195and the population standard deviation equals  25? <BR>\n" );
document.write( "Hint: Use the finite population correction factor since the sample size is more than; 5% of the population size.)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "fpc = sqrt[(N-n)/(N-1)]<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "z(199) = (199-195)/fpc = [4/sqrt(25)][sqrt[(350-100)/(350-1)] = 0.9452<BR>\n" );
document.write( "P(x-bar > 199) = P(z > 0.9452) = normalcdf(0.9452,100) = 0.1723<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );