document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171765>Question 1171765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The University of Cincinnati claims that their students on the average earn more than $40,000 when they graduate. A sample of 16 students reveals a mean of $30,000 and a sample standard deviation of $10,000. The population is normal. Given a level of Type I Error, α = 5%, test the claim. This may be a t-distribution problem. So be careful\r<BR>\n" );
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document.write( "a. State the null and alternative hypothesis.<BR>\n" );
document.write( "b. State the significance level.<BR>\n" );
document.write( "c. Compute the test statistic.<BR>\n" );
document.write( "d. The theoretical statistic.<BR>\n" );
document.write( "e. Test the claim. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797198 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=797198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:earn >=40 K<BR>\n" );
document.write( "Ha: earn < 40 K<BR>\n" );
document.write( "alpha =0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a t (0.95,df=15), one way test<BR>\n" );
document.write( "critical value t < -1.753<BR>\n" );
document.write( "calculation t=(x bar-40000)/10000/sqrt(16)<BR>\n" );
document.write( "=-10000*4/10000<BR>\n" );
document.write( "=-4<BR>\n" );
document.write( "reject Ho and conclude they earn fewer than 40K<BR>\n" );
document.write( "p-value < 0.0006 </SPAN>\n" );
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