document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295197>Question 295197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following data set;\r<BR>\n" );
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document.write( "    48, 32, 37, 35, 36, 42, 41, 40\r<BR>\n" );
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document.write( "     \r<BR>\n" );
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document.write( "    Given a=0.05, test the hypothesis that the mean of the population from which this sample was chosen is less than 42<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 #212771 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=212771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the following data set; <BR>\n" );
document.write( "48, 32, 37, 35, 36, 42, 41, 40 \r<BR>\n" );
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document.write( "Given a=0.05, test the hypothesis that the mean of the population from which this sample was chosen is less than 42<BR>\n" );
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document.write( "1st: Find the sample mean and sample std:<BR>\n" );
document.write( "Add the numbers and devide by 8 to get x-bar = 38.875<BR>\n" );
document.write( "std = 4.970<BR>\n" );
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document.write( "2nd: Hypothesis:<BR>\n" );
document.write( "Ho: u = 42<BR>\n" );
document.write( "Ha: u < 42<BR>\n" );
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document.write( "Critical Value for left tail test for mean with alpha =5% and df = 7:<BR>\n" );
document.write( "t = invT(0.05,7) = -1.8946<BR>\n" );
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document.write( "Test Statistic:<BR>\n" );
document.write( "t(38.875) = (38.875-42)/4.970/sqrt(8)] = -1.7784<BR>\n" );
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document.write( "p-value: P(t< -1.7784) = 0.05929<BR>\n" );
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document.write( "Conclusion:<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Note: This is the same as saying the test std is not in the reject interval.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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