document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152774>Question 1152774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The scores on a college entrance examination are normally distributed with a mean of 550 and standard deviation of 100. For a sample of 30 students what is the probability that the sample has a mean of at least 600?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775037 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z-score = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28600+-+mean%29%2F%28SD%2Fsqrt%28n%29%29 ALIGN=MIDDLE  ALT=\"%28600+-+mean%29%2F%28SD%2Fsqrt%28n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28600+-+550%29%2F%28100%2Fsqrt%2830%29%29 ALIGN=MIDDLE  ALT=\"%28600+-+550%29%2F%28100%2Fsqrt%2830%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.74<BR>\n" );
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document.write( "Look up 2.74 on a z-table.  The result is 0.9969.  This is the probability the mean is LESS THAN 600.  So, the inverse of this is the probability the mean is MORE THAN 600.  That result is <b>0.0031</b>. </SPAN>\n" );
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