document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039504>Question 1039504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have tried so many different formulas to figure out the answers and I can't figure it out. If you could provide some work so I can see how it is done, I'd greatly appreciate it!\r<BR>\n" );
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document.write( "A sample of 40 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level.<BR>\n" );
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document.write( "H0 : &#956; &#8804; 30<BR>\n" );
document.write( "H1 : &#956; > 30\r<BR>\n" );
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document.write( "What is the decision rule? (Round your answer to 3 decimal places.)<BR>\n" );
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document.write( "   H0, when z > ?<BR>\n" );
document.write( "What is the value of the test statistic? (Round your answer to 2 decimal places.)<BR>\n" );
document.write( "	What is the p-value? (Round your answer to 4 decimal places.)\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 #654301 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=654301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of 40 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level.\r<BR>\n" );
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document.write( "H0 : &#956; &#8804; 30<BR>\n" );
document.write( "H1 : &#956; > 30 <BR>\n" );
document.write( "What is the decision rule? (Round your answer to 3 decimal places.)<BR>\n" );
document.write( "t > invT(0.95,39) = 1.685\r<BR>\n" );
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document.write( "H0, when z > ?<BR>\n" );
document.write( "What is the value of the test statistic? (Round your answer to 2 decimal places.)<BR>\n" );
document.write( "TS = t(31) = (31-30)/[3/sqrt(40)] = 2.11<BR>\n" );
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document.write( "What is the p-value? (Round your answer to 4 decimal places.)<BR>\n" );
document.write( "p-value = p(t > 2.11 when df = 39) = tcdf(2.11,100,39) = 0.0207<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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