document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193194>Question 1193194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good evening, may I please have help with this problem. I'm stuck. I would use a t-score, but I do not understand how to get the population mean. Thank you in advance. I so appreciate it. \r<BR>\n" );
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document.write( "A nutrition expert claims that the average American is overweight. To test his claim, a random sample of 26 Americans was selected, and the difference between each person's actual weight and idea weight was calculated. For this data, we have x¯=15.3 and s=27.5. Is there sufficient evidence to conclude that the expert's claim is true? Carry out a hypothesis test at a 2% significance level. Hint: Pay attention to the variable being measured: the difference between actual weight and ideal. A positive value indicates that the person is overweight. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825299 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=825299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This issue a paired t-test; the variable of interest is the difference from ideal. The mean you will want is the mean difference from ideal weight, and it is +15.3 here<BR>\n" );
document.write( "Ho:d=<0 <BR>\n" );
document.write( "Ha:d>0<BR>\n" );
document.write( "alpha=0.02 p{reject Ho|Ho true}<BR>\n" );
document.write( "test is a t(0.98, df=25)<BR>\n" );
document.write( "critical value t>2.485 one way test<BR>\n" );
document.write( "t=(15.3)/27.5/sqrt(26)<BR>\n" );
document.write( "=2.84<BR>\n" );
document.write( "Reject Ho, there is a significant difference in the mean difference between regular and ideal weight (from 0) in this sample.<BR>\n" );
document.write( "p-value =0.0044 </SPAN>\n" );
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