document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119565>Question 119565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is not out of a book this is homework - any help is greatly appreciated.\r<BR>\n" );
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document.write( "A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed the following amounts (grams) in each bottle.\r<BR>\n" );
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document.write( "9.2	8.7	8.9	8.6	8.8	8.5	8.7	9.0\r<BR>\n" );
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document.write( "At the .01 significance level, can we conclude that the mean weight is less than 9.0 grams?\r<BR>\n" );
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document.write( "a.	State the null hypothesis and the alternate hypothesis. <BR>\n" );
document.write( "b.	How many degrees of freedom are there? <BR>\n" );
document.write( "c.	Give the decision rule. <BR>\n" );
document.write( "d.	Compute the value of t. What is your decision regarding the null  <BR>\n" );
document.write( "hypothesis? <BR>\n" );
document.write( "e.	Estimate the p-value. <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 #87634 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=87634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed the following amounts (grams) in each bottle. <BR>\n" );
document.write( "9.2 8.7 8.9 8.6 8.8 8.5 8.7 9.0 <BR>\n" );
document.write( "At the .01 significance level, can we conclude that the mean weight is less than 9.0 grams? <BR>\n" );
document.write( "a. State the null hypothesis and the alternate hypothesis.<BR>\n" );
document.write( "Ho: mu=9 grams<BR>\n" );
document.write( "Ha: mu<9<BR>\n" );
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document.write( "b. How many degrees of freedom are there?<BR>\n" );
document.write( "n-1 = 7<BR>\n" );
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document.write( "c. Give the decision rule.<BR>\n" );
document.write( "????? <BR>\n" );
document.write( "d. Compute the value of t. What is your decision regarding the null <BR>\n" );
document.write( "hypothesis? <BR>\n" );
document.write( "x-bar = 8.8 grams ; df = 7; Alpha = 1%;  <BR>\n" );
document.write( "Test Statistic = (8.8-9)/[0.2268/sqrt(8))] = -.2/0.0802 = -2.4942<BR>\n" );
document.write( "e. Estimate the p-value.<BR>\n" );
document.write( "p-value = 0.0207<BR>\n" );
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document.write( "Conclusion: Since p-value is greater than 1% there is insufficient <BR>\n" );
document.write( "evidence to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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