document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320757>Question 320757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A recent report by the American Medical Association stated the average annual salary of psychiatrists is $189,121 with a population standard deviation of $26,975.  A group of hospital administrators randomly sampled 64 psychiatrists and found an average annual salary of $198,630.   The group claims that the average annual salary is actually higher than what the American Medical Association reported.  What is the P-value for this one-sided test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229729 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=229729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A recent report by the American Medical Association stated the average annual salary of psychiatrists is $189,121 with a population standard deviation of $26,975.<BR>\n" );
document.write( "----------------------- <BR>\n" );
document.write( "A group of hospital administrators randomly sampled 64 psychiatrists and found an average annual salary of $198,630.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "t(198,630) = (198,630-189121)/[26975/sqrt(64)) = 2.8201 <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The group claims that the average annual salary is actually higher than what the American Medical Association reported.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Therefore right-tail test <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "What is the P-value for this one-sided test?<BR>\n" );
document.write( "P-value = P(t > 2.8201 when df=63) = tcdf(2.8201,1000,63) = 0.0032<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" );