document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173826>Question 1173826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the z-score of x, when x= 4 X ~ N(12,5)? \r<BR>\n" );
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document.write( "round to nearest hundredth </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850716 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to calculate the z-score:\r<BR>\n" );
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document.write( "* **Understanding Z-score:** A z-score tells you how many standard deviations a data point is from the mean of a distribution.<BR>\n" );
document.write( "* **Formula:** z = (x - μ) / σ<BR>\n" );
document.write( "    * Where:<BR>\n" );
document.write( "        * x = the data point (4 in this case)<BR>\n" );
document.write( "        * μ = the mean of the distribution (12)<BR>\n" );
document.write( "        * σ = the standard deviation of the distribution (5)\r<BR>\n" );
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document.write( "* **Calculation:**<BR>\n" );
document.write( "    * z = (4 - 12) / 5<BR>\n" );
document.write( "    * z = -8 / 5<BR>\n" );
document.write( "    * z = -1.6\r<BR>\n" );
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document.write( "* **Result:** The z-score is -1.60.<BR>\n" );
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