document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366170>Question 366170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vinyl siding company claims that the mean time to install siding on a medium-size house is at most 20 hours with a standard deviation of 3.7 hours. A random sample of 40 houses sided in the last three years has a mean installation time of 20.8 hours. At the 0.05 significance level, can a claim be made that it takes longer on average than 20 hours to side a house?<BR>\n" );
document.write( "		a.	State the null and alternate hypotheses.<BR>\n" );
document.write( "			H0:	__________________________________________________________________<BR>\n" );
document.write( "			H1:	__________________________________________________________________<BR>\n" );
document.write( "		b.	State the decision rule.<BR>\n" );
document.write( "			_______________________________________________________________________<BR>\n" );
document.write( "		c.	Compute the value of the test statistic.	\r<BR>\n" );
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document.write( "		d.	Formulate the decision rule.<BR>\n" );
document.write( "			_______________________________________________________________________<BR>\n" );
document.write( "		e.	What is your decision regarding the null hypothesis? Interpret the result.<BR>\n" );
document.write( "			_______________________________________________________________________<BR>\n" );
document.write( "			_______________________________________________________________________<BR>\n" );
document.write( "	\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 #260981 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=260981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A vinyl siding company claims that the mean time to install siding on a medium-size house is at most 20 hours with a standard deviation of 3.7 hours. A random sample of 40 houses sided in the last three years has a mean installation time of 20.8 hours. At the 0.05 significance level, can a claim be made that it takes longer on average than 20 hours to side a house?<BR>\n" );
document.write( "a. State the null and alternate hypotheses.<BR>\n" );
document.write( "H0: u <= 20 <BR>\n" );
document.write( "H1: u > 20<BR>\n" );
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document.write( "b. State the decision rule.<BR>\n" );
document.write( "Reject Ho if the p-value < 5%\r<BR>\n" );
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document.write( "_______________________________________________________________________<BR>\n" );
document.write( "c. Compute the value of the test statistic. <BR>\n" );
document.write( "t(20.8) = (20.8-20)/[3.7/sqrt(20)] = 0.9669<BR>\n" );
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document.write( "d. Formulate the decision rule.<BR>\n" );
document.write( "p9value = P(t >0.9669 when df=19) = 0.1728<BR>\n" );
document.write( "_______________________________________________________________________<BR>\n" );
document.write( "e. What is your decision regarding the null hypothesis? Interpret the result.<BR>\n" );
document.write( "Since the p-value is > 5%, fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "_______________________________________________________________________<BR>\n" );
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