document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036783>Question 1036783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a test of the effectiveness of garlic for lowering&#8203; cholesterol, 45 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol&#8203; (in mg/dL) have a mean of 3.4 and a standard deviation of 18.3.\r<BR>\n" );
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document.write( " Construct a 95&#8203;% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL&#8203; cholesterol?<BR>\n" );
document.write( "What is the confidence interval estimate of the population mean &#956;&#8203;?\r<BR>\n" );
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document.write( "Thank You for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651517 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a paired t-test<BR>\n" );
document.write( "Ho:mean =0<BR>\n" );
document.write( "Ha:mean ne0.<BR>\n" );
document.write( "alpha=0.05<BR>\n" );
document.write( "test stat is t, df=44 critical value abs(t)>2.01<BR>\n" );
document.write( "t is mean over SE<BR>\n" );
document.write( "calculation: SE is 18.3/sqrt (45)=2.73; mean/SE=1.25<BR>\n" );
document.write( "Fail to reject Ho<BR>\n" );
document.write( "CI is mean +/- t*SE=3.4 +/-2.01*2.73 and the product is 5.49.<BR>\n" );
document.write( "The interval is (-2.09,8.89). The interval contains 0, so 0, or no change, is a plausible value, and there is no convincing evidence that garlic affects LDL cholesterol levels.   </SPAN>\n" );
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