document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918680>Question 918680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A weight loss program claims that on average people lose 10 <BR>\n" );
document.write( "pounds in 7 days. A researcher believes the extent of the weight <BR>\n" );
document.write( "loss is exaggerated and decides to test this claim with a group of 14 <BR>\n" );
document.write( "individuals. After 7 days, the average weight loss was 8.6 pounds <BR>\n" );
document.write( "with a sample standard deviation of 2.4 pounds. <BR>\n" );
document.write( "a)Is this a directional or non-directional test? Explain\r<BR>\n" );
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document.write( "b) At a 5% significance level, is the claim of the weight loss program <BR>\n" );
document.write( "supported?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557204 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=557204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> H0: mu = 10<BR>\n" );
document.write( "H1: mu < 10 (since claim is weight loss is less)<BR>\n" );
document.write( "Thus, Using a one tailed T Distribution<BR>\n" );
document.write( "test statistic: t(8.6) = -1.4/(2.4/sqrt(14) = -2.18<BR>\n" );
document.write( "critical value: invT(.05, 13) = -1.77<BR>\n" );
document.write( "-2.18 < -.177<BR>\n" );
document.write( "b) At a 5% significance level, the claim of the weight loss program is supported </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );