document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128035>Question 1128035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of size 25 is to be selected from a population that has a mean &#956; = 51 and a standard deviation &#963; of 10.\r<BR>\n" );
document.write( "\n" );
document.write( "(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) <BR>\n" );
document.write( " <BR>\n" );
document.write( "51<BR>\n" );
document.write( " <BR>\n" );
document.write( "Correct: Your answer is correct.<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( "2.00<BR>\n" );
document.write( " <BR>\n" );
document.write( "Correct: Your answer is correct.<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(d) What is the probability that this sample mean will be between 42 and 52? (Give your answer correct to four decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "Incorrect: Your answer is incorrect.<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(e) What is the probability that the sample mean will have a value greater than 51? (Give your answer correct to four decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(f) What is the probability that the sample mean will be within 6 units of the mean? (Give your answer correct to four decimal places.) <BR>\n" );
document.write( " <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 #744536 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=744536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is a mean of 51 and a sd of 2<BR>\n" );
document.write( "between 42 and 52 is a z=(xbar-mu)/std error<BR>\n" );
document.write( "z=-9/2=-4.5<BR>\n" );
document.write( "z=(1/2). Have a z between -4.5 and +0.5<BR>\n" );
document.write( "probability is 0.6915<BR>\n" );
document.write( "Greater than 51 has a probability of 0.5000<BR>\n" );
document.write( "within 6 units is a z between -3 and +3, and that probability is 0.9973 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );