document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291590>Question 291590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> H0: µ &#8804; 10<BR>\n" );
document.write( "H1: µ > 10<BR>\n" );
document.write( "The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significance level.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210827 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=210827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> H0: µ &#8804; 10<BR>\n" );
document.write( "H1: µ > 10<BR>\n" );
document.write( "The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significance level.<BR>\n" );
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document.write( "t(12) = (12-10)/[3/sqrt(12)] = 2.3094...<BR>\n" );
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document.write( "p-value: P(t> 2.3094 when df=11) = 0.02067<BR>\n" );
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document.write( "Whoa! That p-value is only 67/1000th above the significance mark.<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater than 2%, fail to reject Ho.<BR>\n" );
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document.write( "Also, you should do more testing.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );