document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864667>Question 864667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me figure out how to work this out:\r<BR>\n" );
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document.write( "It is claimed that the students at a certain university in Michigan will score an average of 85 on a given test.  Is the claim reasonable if a random sample of test scores from this university yields 83, 92, 88, 87, 80, and 92?  Assume test results are normally distributed.\r<BR>\n" );
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document.write( "22Complete a hypothesis test at  = 0.05 using the p-value approach.\r<BR>\n" );
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document.write( "Thanks!\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 #521296 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=521296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is claimed that the students at a certain university in Michigan will score an average of 85 on a given test. Is the claim reasonable if a random sample of test scores from this university yields 83, 92, 88, 87, 80, and 92? Assume test results are normally distributed. <BR>\n" );
document.write( "22Complete a hypothesis test at = 0.05 using the p-value approach.<BR>\n" );
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document.write( "Ho: u = 85 (claim)<BR>\n" );
document.write( "Ha: u # 85<BR>\n" );
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document.write( "sample mean:: (83+92+88+87+80+92)/5 = 87<BR>\n" );
document.write( "s = 4.82<BR>\n" );
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document.write( "t(87) = (87-85)/[4.82/sqrt(6)] = 2/1.9678 = 1.01<BR>\n" );
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document.write( "p-value = 2*P(t> 1.01 when df = 5) = 2*tcdf(1.01,100,5) = 0.36<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Conclusion: The claim is reasonable at the 5% confidence level.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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