document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147030>Question 1147030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A researcher reports that the average salary of teachers is more than $50,000, A sample of 25 teachers has a mean annual salary of $51,000. At alpha=.05, test the hypothesis that teachers earn more than $50,000 a yr. The standard deviation of the sample of 25 teachers is $2,000. (be sure to show your graphic, hypothesis setup, identify the appropriate statistic (Z or t), find the critical value from the appropriate table, compute your test statistics, and state your decision. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768318 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=768318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: salary <=50000<BR>\n" );
document.write( "Ha:>50000<BR>\n" );
document.write( "alpha=0.05 P{reject Ho|Ho true)<BR>\n" );
document.write( "test statistic is a t df=24<BR>\n" );
document.write( "critical value is t>1.711\r<BR>\n" );
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document.write( "SD of pop is estimated from sample, so use t<BR>\n" );
document.write( "t (df=24)=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( ">1000/2000/sqrt(25)<BR>\n" );
document.write( ">2.5<BR>\n" );
document.write( "reject Ho, conclude salary >50000.<BR>\n" );
document.write( "p=0.01 </SPAN>\n" );
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