document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062014>Question 1062014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following hypotheses:<BR>\n" );
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document.write( "H0 : &#956; &#8804; 10<BR>\n" );
document.write( "H1 : &#956; > 10<BR>\n" );
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document.write( "A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the .05 significance level:<BR>\n" );
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document.write( "a.	State the decision rule. (Round your answer to 3 decimal places.)<BR>\n" );
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document.write( "  Reject H0 if t >	<BR>\n" );
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document.write( "b.	<BR>\n" );
document.write( "Compute the value of the test statistic. (Round your answer to 3 decimal places.)<BR>\n" );
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document.write( "  Value of the test statistic	<BR>\n" );
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document.write( "c.	What is your decision regarding the null hypothesis?<BR>\n" );
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document.write( " 	 H0. There is  evidence to conclude that the population mean is greater than 10.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676818 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the decision rule will be a t (df=9, 0.95)>1.833.  If t is greater than that number reject; if less than or equal to than fail to reject.<BR>\n" );
document.write( "t=(12-10)/3/sqrt(10)=2*sqrt(10)/3=2.108<BR>\n" );
document.write( "Reject Ho and conclude that the population mean is greater than 10. It is interesting that a two-tailed test would not be significant in this instance.   </SPAN>\n" );
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