document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192239>Question 1192239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey of the National Capital Region finds the average commute time time of employees on one way is 45 minutes. the Makati chamber of Commerce feels that in their city it is greater and want to publicize this. They randomly selected 28 commuters and found the average is 50 minutes with a standard deviation of 6 minutes. At alpha=0.05, are they correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824179 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=824179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a 1 sample 1-way t-test<BR>\n" );
document.write( "Ho: mean is 45 min<BR>\n" );
document.write( "Ha: mean >45 min<BR>\n" );
document.write( "alpha=0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test is a t df=27<BR>\n" );
document.write( "reject if t>1.703<BR>\n" );
document.write( "calculation t=(diff in mean)/sqrt (V)<BR>\n" );
document.write( "=(50-45)/6/sqrt(28)<BR>\n" );
document.write( "=5 sqrt (28)/6<BR>\n" );
document.write( "=4.41<BR>\n" );
document.write( "reject Ho and conclude there has been a difference, and the time is greater. p-value < 0.0001 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );