document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056588>Question 1056588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid<BR>\n" );
document.write( "diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds<BR>\n" );
document.write( "with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation<BR>\n" );
document.write( "of 14 pounds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671722 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=671722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds<BR>\n" );
document.write( "with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviationof 14 pounds.<BR>\n" );
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document.write( "Ho:: u1 - u2 = 0<BR>\n" );
document.write( "Ha:: u1 - u2 > 0<BR>\n" );
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document.write( "z(42-45)/sqrt[14^2/36 + 12^2/13] = -0.74<BR>\n" );
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document.write( "p-value = 2*p(z < -0.74) = 2normalcdf(-100,-0.74) = 2*0.23 = 0.46<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho<BR>\n" );
document.write( "The test results support support the conclusion that there is<BR>\n" );
document.write( "no difference in mean weight loss.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );