document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074944>Question 1074944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a simple random sample of size n = 36 is taken from a population with mean = 64 and standard deviation = 18.\r<BR>\n" );
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document.write( "a) What are the mean and standard deviation of the sampling distribution?<BR>\n" );
document.write( "b) What is P(x < 62.6)?\r<BR>\n" );
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document.write( "I generally can figure this out if given the formulas but I don't know the formulas in this instance.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689635 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=689635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean of a sampling distribution is the mean of the population from which it was taken.  mean=64<BR>\n" );
document.write( "the sd of a sampling distribution is the sd of the population divided by the square root (n)<BR>\n" );
document.write( "This would be 18/sqrt(36)=3.  The sampling distribution is N~n=36 (64,3)<BR>\n" );
document.write( "The probability p<62.6 is a z<BR>\n" );
document.write( "z=(x bar-mean)/s/sqrt (n)<BR>\n" );
document.write( "z<(62.6-64)/3<BR>\n" );
document.write( "z<-1.4/3<BR>\n" );
document.write( "z< -0.467.<BR>\n" );
document.write( "p=0.3202 </SPAN>\n" );
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