document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072249>Question 1072249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> XYZ Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 77 and a standard deviation of 12. A simple random sample of 26 is taken from a population of 500. What is the probability that the average aptitude test in the sample will be greater than 81.68 (to 4 decimals)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687261 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean 77, sd 12<BR>\n" );
document.write( "z=(x-mean)/s/sqrt(n)<BR>\n" );
document.write( ">=4.68/(12/sqrt(26)=4.68*sqrt (26)/12=1.989<BR>\n" );
document.write( "The probability z>1.989 is 0.0234; note, if you use 1.99, you get 0.0233 </SPAN>\n" );
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