document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855405>Question 855405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7. Find the mean and standard error of the sample means that is normally distributed with a mean of 10 and a standard deviation of 2 and a sample size of 25.\r<BR>\n" );
document.write( "\n" );
document.write( "8. Using the above distribution find the probability of a a score less than 11.<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 #515331 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=515331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7. Find the mean and standard error of the sample means that is normally distributed with a mean of 10 and a standard deviation of 2 and a sample size of 25.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "mean of the sample means = 10<BR>\n" );
document.write( "std of the sample means = 2/sqrt(25) = 2/5<BR>\n" );
document.write( "-------------------------------------------------- <BR>\n" );
document.write( "8. Using the above distribution find the probability of a a score less than 11.<BR>\n" );
document.write( "Assuming the score you want is a sample mean you get:<BR>\n" );
document.write( "z(11) = (11-10)/(2/5) = 1/(2/5) = 5/2 = 2.5<BR>\n" );
document.write( "P(x-bar < 11) = P(z < 2.5) = 0.9938<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" );