document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=608724>Question 608724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a study, the sys5olic blood pressure for population of female participants are found to have a mean of 120 and a standard deviation of 12. Suppose the the blood pressure of a random sample of 64 female participants is obtained from this study. What is the probability that the sample mean is between 118 and 123? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383383 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=383383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a study, the systolic blood pressure for population of female participants are found to have a mean of 120 and a standard deviation of 12. Suppose the the blood pressure of a random sample of 64 female participants is obtained from this study. What is the probability that the sample mean is between 118 and 123?<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "z(118) = (118-120)/[12/sqrt(64)] = -4/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "z(123) = (123-120)/[12/sqrt(64)] = 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(118< x-bar < 123) = P(-4/3 < z < 2) = 0.8860<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );