document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193047>Question 1193047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Z score of the sample mean on the distribution of means is: <BR>\n" );
document.write( "A) different from a normal Z score because an estimated population standard deviation is used <BR>\n" );
document.write( "B) smaller than normal due to the reduced variance in the distribution of means <BR>\n" );
document.write( "C) conceptually similar to creating a Z score from a raw score <BR>\n" );
document.write( "D) equivalent to the sample mean divided by the population variance  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825011 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=825011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i would say B.<BR>\n" );
document.write( "the formula for a z-score of an individual element is z = (x - m) / sd<BR>\n" );
document.write( "the formula for a z-score of the mean of a sample of n elements is z = (x - m) / (sd / sqrt(n)).<BR>\n" );
document.write( "z is the z-score<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "sd is the standard deviation of an individual element in the distribution of elements.<BR>\n" );
document.write( "(sd / sqrt(n)) is the standard deviation of the sample means in a distribution of sample means.<BR>\n" );
document.write( "here's a reference on the subject.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://onlinestatbook.com/2/sampling_distributions/samp_dist_mean.html\" target = \"_blank\">https://onlinestatbook.com/2/sampling_distributions/samp_dist_mean.html</a><BR>\n" );
document.write( "here's another.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://matcmath.org/textbooks/engineeringstats/distribution-of-sample-means/\" target = \"_blank\">http://matcmath.org/textbooks/engineeringstats/distribution-of-sample-means/</a>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );