document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748123>Question 748123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A. Travel agent claims that the average # of rooms in hotels in a large city is 500. At a=0.01, is the claim realistic? The data for a sample of 7 hotels are shown. Give a reason why the claim might be deceptive.<BR>\n" );
document.write( "713  300  292  311  598  401  618 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455333 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=455333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Travel agent claims that the average # of rooms in hotels in a large city is 500. At a=0.01, is the claim realistic? The data for a sample of 7 hotels are shown. Give a reason why the claim might be deceptive.<BR>\n" );
document.write( "713 300 292 311 598 401 618<BR>\n" );
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document.write( "Ho: u = 500 (claim)<BR>\n" );
document.write( "Ha: u # 500<BR>\n" );
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document.write( "x-bar = 462 (when rounded up to a whole number)<BR>\n" );
document.write( "s(x) = 176<BR>\n" );
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document.write( "t(462) = (462-500)/[176/sqrt(7)] = -0.5712<BR>\n" );
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document.write( "p-value = 2*P(t < -0.5712 when df = 6) = 2*tcdf(-100,-0.5712,6) = 0.59<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater than 1%, fail to reject Ho.<BR>\n" );
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document.write( "The test results support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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