document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445128>Question 445128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Science fiction novels average 240 pages in length. The average length of 14 randomly chosen novels written by I. M. Wordy was 280 pages in length with a standard deviation of 40. Are Wordy's novels significantly longer than the average? Assume  = .05. What is the test value, the critical value(s), and the conclusion?\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 #306720 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=306720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Science fiction novels average 240 pages in length. The average length of 14 randomly chosen novels written by I. M. Wordy was 280 pages in length with a standard deviation of 40.<BR>\n" );
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document.write( "Are Wordy's novels significantly longer than the average? <BR>\n" );
document.write( "Assume = .05. What is the test value, the critical value(s), and the conclusion?<BR>\n" );
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document.write( "Ho: u <= 240<BR>\n" );
document.write( "Ha: u > 240 (the question)<BR>\n" );
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document.write( "Critical Value = invT(0.95 with df = 13) = 1.7709<BR>\n" );
document.write( "sample mean = 280 <BR>\n" );
document.write( "test stat: t(280) = (280-240)/[40/sqrt(14)] = 3.7417..<BR>\n" );
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document.write( "Since the test stat is in the reject interval, reject Ho.<BR>\n" );
document.write( "The test result supports a positive answer to the question.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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