document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059210>Question 1059210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a population is known to be normally distributed with <BR>\n" );
document.write( "mu&#956;equals= 2,100 <BR>\n" );
document.write( "and <BR>\n" );
document.write( "sigma&#963;equals=240. <BR>\n" );
document.write( "If a random sample of size <BR>\n" );
document.write( "nequals=8 <BR>\n" );
document.write( "is&#8203; selected, calculate the probability that the sample mean will exceed 2,200. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674292 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=674292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that a population is known to be normally distributed with <BR>\n" );
document.write( "mu equals = 2,100 <BR>\n" );
document.write( "and <BR>\n" );
document.write( "sigma equals = 240. <BR>\n" );
document.write( "If a random sample of size n equals = 8 is&#8203; selected, <BR>\n" );
document.write( "calculate the probability that the sample mean will exceed 2,200.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "z(2200) = (2200-2100)/[240/sqrt(8)] = 1.1785<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x-bar > 2200) = P(z > 1.1785) = normalcdf(1.1785,100) = 0.1193<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );