document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194199>Question 1194199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing<BR>\n" );
document.write( "tests by the Food and Drug Administration (FDA) before its introduction into the market. The<BR>\n" );
document.write( "weights of a random sample of five people are recorded before they are introduced to the liquid<BR>\n" );
document.write( "protein diet. The five individuals are then instructed to follow the liquid protein diet for 3 weeks.<BR>\n" );
document.write( "At the end of this period, their weights (in pounds) are again recorded. The results are listed in<BR>\n" );
document.write( "the table. Let µ1be true mean weight of individuals before starting the diet and let µ2be the true<BR>\n" );
document.write( "mean weight of individuals after 3 weeks on the diet.\r<BR>\n" );
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document.write( "                    1   2   3   4   5<BR>\n" );
document.write( "Weight before diet 156 201 194 203 210<BR>\n" );
document.write( "Weight after diet  149 196 191 197 206\r<BR>\n" );
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document.write( "Given that Sd =1.58, test to determine if the diet is effective at reducing weight. Use α=0.1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826339 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=826339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a paired t-test with df=4<BR>\n" );
document.write( "critical value with alpha=0.1 is t=2.132<BR>\n" );
document.write( "Ho: difference =0<BR>\n" );
document.write( "Ha: difference NE 0<BR>\n" );
document.write( "alpha=0.1 p{reject Ho|Ho true}=0.1<BR>\n" );
document.write( "test is t=(x bar)*s/sqrt(n)<BR>\n" );
document.write( "x bar is 5 and s 1.58<BR>\n" );
document.write( "t=5/1.58/sqrt(5)=7.08<BR>\n" );
document.write( "Can conclude that there is a significant difference from 0.<BR>\n" );
document.write( "p-value=0.002\r<BR>\n" );
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