document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159396>Question 1159396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly selected automobile owners are asked to keep a record of the kilometers they travel. Would you agree with this claim if the random sample showed an average of 23,500 kilometers and a standard deviation of 3900 kilometers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783131 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=783131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: d<=20,000 km/yr<BR>\n" );
document.write( "Ha: d>20,000 km/year<BR>\n" );
document.write( "alpha=0.05 P{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t(0..95) df=99<BR>\n" );
document.write( "Critical value t>1.66<BR>\n" );
document.write( "calculation t=(x bar-mean)/s/sqrt (100)<BR>\n" );
document.write( "t=3500*10/3900<BR>\n" );
document.write( "t=8.97<BR>\n" );
document.write( "strongly reject Ho and conclude that the vehicles are driven more than 20,000 km/year<BR>\n" );
document.write( "P<0.0001 (about 10^(-15)) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );