document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109276>Question 1109276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The national mean SAT score in math is 550. Suppose a high school principal claims that the mean SAT score in math at his school is better than the national mean score. A random sample of 72 students finds a mean score of 574. Assume that the population standard deviation is &#963;=100.  Is the principal's claim valid? Use a level of significance of &#945;=0.05.<BR>\n" );
document.write( "A) Compute the test statistic for this analysis. Round your answer to 3 decimal places. \r<BR>\n" );
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document.write( "B) Determine the P-value based on the test statistic. Round your answer to 3 decimal places.\r<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 #724260 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=724260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two way test to see if any different (one may argue in favor of a one way test, but this question sounds more like hoping it was better rather than knowing a priori it would be.)<BR>\n" );
document.write( "usual assumptions or normality<BR>\n" );
document.write( "z=test with critical value |z|>1.96<BR>\n" );
document.write( "z=(xbar-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "z=24*sqrt(72)/100, inverting the denominator to multiply<BR>\n" );
document.write( "z=2.036, the test statisitic<BR>\n" );
document.write( "This has a p-value of 0.041, and is considered significant at the 0.05 level and supports the principal's claim. </SPAN>\n" );
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