document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941685>Question 941685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting 30 values and getting a mean greater than 3.6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574077 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=574077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting 30 values and getting a mean greater than 3.6.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Note: Standard deviation for the mean of the sample means = s/sqrt(n)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Your Problem::<BR>\n" );
document.write( "z(3.6) = (3.6-3.2)/[0.7/sqrt(30)] = 0.4*sqrt(30)/0.7 = 3.1300<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x-bar > 3.6) = normalcdf(3.13,100) = 0.0008750<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );