document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408511>Question 408511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following:<BR>\n" );
document.write( "(a) Increasing the difference between sample mean and the original population mean.<BR>\n" );
document.write( "In terms of Z = x – u/o, keeping the o constant will have an increase in the difference between sample mean and the original population mean causes an increase in the Z score. <BR>\n" );
document.write( "(b) Increasing the population standard deviation.<BR>\n" );
document.write( "Keeping other variables like sample mean and population mean, an increase in the population standard deviation will cause a decrease in Z score.<BR>\n" );
document.write( "(c) Increasing the number of scores in the sample.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287768 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=287768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following:<BR>\n" );
document.write( "(a) Increasing the difference between sample mean and the original population mean.<BR>\n" );
document.write( "In terms of Z = (x-bar – u)/s<BR>\n" );
document.write( "If s is constant increasing the difference between sample mean and the original population mean causes an increase in the Z score.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "(b) Increasing the population standard deviation.<BR>\n" );
document.write( "Keeping other variables like sample mean and population mean, an increase in the population standard deviation will cause a decrease in Z score.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "(c) Increasing the number of scores in the sample.<BR>\n" );
document.write( "Since the standard deviation is s/sqrt(n), z and sqrt(n) are<BR>\n" );
document.write( "indirectly related. So increasing n will decrease z.<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );