document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171767>Question 1171767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Harvard University claims that their students score on the average of 1350 on the SAT exam. A random sample of 121 students reveals an average score of 1300 and a standard deviation of 40 points. With a significance level of 5%, test the claim of Harvard University.\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. The theoretical statistic.<BR>\n" );
document.write( "d. Compute the test statistic.<BR>\n" );
document.write( "e. Test the claim.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796765 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=796765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: average SAT score is 1350<BR>\n" );
document.write( "Ha: it is not 1350<BR>\n" );
document.write( "alpha=0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat t(0.975, df=120)=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "critical value |t|>1.98<BR>\n" );
document.write( "calculation (-50*sqrt(121)/40)=t=-13.75<BR>\n" );
document.write( "strongly reject Ho and conclude the true SAT score is not 1350.<BR>\n" );
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