document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734181>Question 734181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Having issues with this question please advise.\r<BR>\n" );
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document.write( "The scores on a national test were normally distributed with a mean of 83 and a standard deviation of 8.   If 400 test takers were selected at random, how many of them would you <BR>\n" );
document.write( "expect to have a score lower than 75?  (Round to the nearest person)<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 #448764 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=448764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The scores on a national test were normally distributed with a mean of 83 and a standard deviation of 8. If 400 test takers were selected at random, how many of them would you <BR>\n" );
document.write( "expect to have a score lower than 75? (Round to the nearest person)<BR>\n" );
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document.write( "z(75) = (75-83)/[8/sqrt(400)] = -8/[8/20] = -20<BR>\n" );
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document.write( "P(x-bar < 75) = P(z < -20) is practically zero.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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