document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122913>Question 122913</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072868244/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me try to solve the following problem!\r<BR>\n" );
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document.write( "Hypothesis Tests\r<BR>\n" );
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document.write( "18) The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?<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 #90371 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=90371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?\r<BR>\n" );
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document.write( "I'm going to assume you use a t-test on problems involving means.<BR>\n" );
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document.write( "Ho: mu = 42.3<BR>\n" );
document.write( "Ha: mu < 42.3<BR>\n" );
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document.write( "t(40.6) = -3.0845<BR>\n" );
document.write( "p-value = 0.0026<BR>\n" );
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document.write( "Conclusion: Since p-value is less than 0.10 reject Ho. There is significant<BR>\n" );
document.write( "statistical evidence that the mean assumbly time is faster with the new<BR>\n" );
document.write( "method.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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