document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=456951>Question 456951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A set of 50 data values has a mean of 16 and a variance of 4. <BR>\n" );
document.write( "I.  Find the standard score (z) for a data value = 12.<BR>\n" );
document.write( "II. Find the probability of a data value > 12.<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 #313554 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will assume that you're looking at the distribution of the sample means (which follows a normal distribution) of size 50.\r<BR>\n" );
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document.write( "In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%28x+-+mu%29%2F%28sigma%2Fsqrt%28n%29%29+=+%2812+-+16%29%2F%282%2Fsqrt%2850%29%29+=+-2sqrt%2850%29+=+-14.14213562 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > is the standard score for a sample mean of 12.\r<BR>\n" );
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document.write( "Looking at the empirical rule for normal distributions, the probability is virtually 1 that a sample mean is greater than 12. </SPAN>\n" );
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