document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059211>Question 1059211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a population is known to be normally distributed with <BR>\n" );
document.write( "mu&#956;equals=78<BR>\n" );
document.write( "and <BR>\n" );
document.write( "sigma&#963;equals=16&#8203;, <BR>\n" );
document.write( "what will be the characteristics of the sampling distribution for <BR>\n" );
document.write( "x overbarx <BR>\n" );
document.write( "based on a random sample of size <BR>\n" );
document.write( "16 <BR>\n" );
document.write( "selected from the&#8203; population? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674285 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=674285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am assuming the question is asking what is the mean of a sampling distribution of size 16 taken from N~(78,16)<BR>\n" );
document.write( "The sampling distribution will have the same mean, and the sd will be the sqrt of the sample size.<BR>\n" );
document.write( "It will be normally distributed with mean 78 and sd 4. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );