document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286095>Question 286095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You want to prove that a population mean is not 7.  Data is ratio and a large sample size will be used (n = 225).  When the sample is done the sample mean is computed to be 7.2  and the sample standard deviation is 1.5.  Test the hypothesis using an alpha of 5%.  Use formal hypothesis testing and compute the p-value.  \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 #207453 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=207453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want to prove that a population mean is not 7. <BR>\n" );
document.write( "Data is ratio and a large sample size will be used (n = 225). <BR>\n" );
document.write( "When the sample is done the sample mean is computed to be 7.2 and the sample standard deviation is 1.5. <BR>\n" );
document.write( "Test the hypothesis using an alpha of 5%. <BR>\n" );
document.write( "Use formal hypothesis testing and compute the p-value.<BR>\n" );
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document.write( "Ho: u = 7<BR>\n" );
document.write( "Ha: u is not 7 (claim)<BR>\n" );
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document.write( "t(7.2) = (7.2-7)/1.5 = 0.1333...<BR>\n" );
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document.write( "p-value = 2*P(t > 0.13333.. with df = 224) <BR>\n" );
document.write( "= 2*tcdf(0.13333..,100,224) = 0.8940<BR>\n" );
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document.write( "Wow! Fail to reject Ho; that p-value is much larger than the p-value.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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