document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176871>Question 1176871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In which of the following scenarios will conducting a paired t-test for means be appropriate? CHECK ALL THAT APPLY.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A. To test if the mean annual income of Ontarians is higher than that of British Columbians.\r<BR>\n" );
document.write( "\n" );
document.write( "B. To test if there is a difference between the mean annual income of husbands and that of their wives in Canada.\r<BR>\n" );
document.write( "\n" );
document.write( "C. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.\r<BR>\n" );
document.write( "\n" );
document.write( "D. To test if there is a difference between the mean number of CD4 T cells in healthy patients and patients with cancer.\r<BR>\n" );
document.write( "\n" );
document.write( "E. To test if there is a difference between the mean number of antibodies in patients before surgery and after surgery.\r<BR>\n" );
document.write( "\n" );
document.write( "F. To test if the proportion of low-income families is higher than that of high-income families in British Columbia.\r<BR>\n" );
document.write( "\n" );
document.write( "G. None of the above </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804837 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "\n" );
document.write( "A. To test if the mean annual income of Ontarians is higher than that of British Columbians\r<BR>\n" );
document.write( "\n" );
document.write( "C. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.\r<BR>\n" );
document.write( "\n" );
document.write( "Explanation:\r<BR>\n" );
document.write( "\n" );
document.write( "The options chosen have two populations that are independent. For example in option A, the annual income of Ontarians is a different population from annual income of British Columbians and they are also independent. The two sample t test can only be used when the populations are independent, it can also be used when computing difference between the means of two populations.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );