document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161682>Question 1161682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average salary for graduates entering the actuarial field is $40,000. If the salaries are normally distributed with a standard deviation of $5000, find the probability that \r<BR>\n" );
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document.write( "b. A group of nine graduates will have a group average over $45,000.\r<BR>\n" );
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document.write( "Z = value  -  mean / st dv<BR>\n" );
document.write( "Z = (45,000  -  40,000) / (5,0000/sqrt(9)) = <BR>\n" );
document.write( "The correct answer is .0013\r<BR>\n" );
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document.write( "I am looking for the correct answer. The .0013 is the answer after looking at the Z table but I am having a hard time find the correct answer<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 #785350 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i'm not exactly sure what you're looking for.<BR>\n" );
document.write( "from what i see:<BR>\n" );
document.write( "population mean = 40,000<BR>\n" );
document.write( "population standard deviation = 5000<BR>\n" );
document.write( "sample size = 9<BR>\n" );
document.write( "sample mean = 45,000<BR>\n" );
document.write( "standard deviation of the distribution of sample means is 5000 / sqrt(9) = (5000 / 3).<BR>\n" );
document.write( "this is called the standard error.<BR>\n" );
document.write( "z-score = (sample mean minus population mean) / standard error = (45,000 - 40,000) / (5000 / 3) = 3.<BR>\n" );
document.write( "look up in the z-score table and it tells you that a z-score of 3 has an area under the normal distribution curve of .99865 to the left of it.<BR>\n" );
document.write( "the area to the right of it is 1 - .99865 = .00135.<BR>\n" );
document.write( "that would round to .0014, if you worked only from the z-score table.<BR>\n" );
document.write( "using a calculator, i found the area to the right of a z-score of 3 equal to .0013499673,<BR>\n" );
document.write( "that rounds to .0013.<BR>\n" );
document.write( "if that is supposed to be the correct answer, then you have it.<BR>\n" );
document.write( "if not, then what answer are you looking for?\r<BR>\n" );
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