document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526355>Question 526355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average math SAT score is 513 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores.A random sample of 45 students from this school was selected and the mean math SAT score was 557. Is the high school justified in its claim? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348453 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The average math SAT score is 513 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was selected and the mean math SAT score was 557. Is the high school justified in its claim?<BR>\n" );
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document.write( "z(557) = (557-513)/[113/sqrt(45)) = 2.6120<BR>\n" );
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document.write( "Since the score is more than 2 standard deviations above the mean, the<BR>\n" );
document.write( "hs is justified in its claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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