document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143677>Question 143677</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072868244/algebrahomeworkh>Statistical Techniques in business and economics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Problem 11-38.  Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?\r<BR>\n" );
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document.write( "Boat	Times (minutes)<BR>\n" );
document.write( "Prada (Italy)	12.9	12.5	11.0	13.3	11.2	11.4	11.6	12.3	14.2	11.3	 	 <BR>\n" );
document.write( "Oracle (U.S.A.)	14.1	14.1	14.2	17.4	15.8	16.7	16.1	13.3	13.4	13.6	10.8	19.0\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 #104747 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=104747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?\r<BR>\n" );
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document.write( "Boat	Times (minutes)<BR>\n" );
document.write( "Prada (Italy)	12.9	12.5	11.0	13.3	11.2	11.4	11.6	12.3	14.2	11.3	 	 <BR>\n" );
document.write( "Oracle (U.S.A.)	14.1	14.1	14.2	17.4	15.8	16.7	16.1	13.3	13.4	13.6	10.8	19.0<BR>\n" );
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document.write( "Prada sample mean time = 12.17; s = 1.056..<BR>\n" );
document.write( "Oracle sample mean time = 14.875; s = 2.2079...<BR>\n" );
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document.write( "Ho: u(Prada)-u(Oracle) = 0<BR>\n" );
document.write( "Ha: u(P)-u(O) is not zero<BR>\n" );
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document.write( "I ran a 2-Sample Ttest on the data and got the following results:<BR>\n" );
document.write( "test statistic: t= -3.759..<BR>\n" );
document.write( "p-value = 0.0016..<BR>\n" );
document.write( "df= 16.36<BR>\n" );
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document.write( "Conclusion:<BR>\n" );
document.write( "Since p is less than alpha=5%, reject Ho.<BR>\n" );
document.write( "u(P) is not statistically the same as u(O)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " \r<BR>\n" );
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