document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184448>Question 1184448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with σ = $5100.<BR>\n" );
document.write( "a) What is the probability that a randomly selected teacher's salary is greater than $38,900? <BR>\n" );
document.write( "b) For a sample of 50 teachers, what is the probability that the sample mean is greater than $35,655? Assume that the sample is taken from a large population and the correction factor can be ignored<BR>\n" );
document.write( "Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815143 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=815143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sigma<BR>\n" );
document.write( ">(38900-35441)/5100=0.68<BR>\n" );
document.write( "0.2483 probability<BR>\n" );
document.write( "-<BR>\n" );
document.write( "z=(x bar -mean)/ sigma/ sqrt(n)=(35655-35441)/5100/sqrt(50)=0.30<BR>\n" );
document.write( "probability z > 0.30 is 0.3821 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );