document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240388>Question 240388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs. Is it reasonable to conclude that the students sleep less than english people. Set up your hyptheses and test it with 5% level of significance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176125 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs. Is it reasonable to conclude that the students sleep less than english people. Set up your hyptheses and test it with 5% level of significance<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Ho: u = 7<BR>\n" );
document.write( "H1: u < 7<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "critical value for alpha = 5%, df = 35 left-tail tes: t = -1.6896<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "test stat: t(6.5)= (6.5-7)/[1.2/sqrt(36)] =-2.5<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Since the ts is in the reject interval, reject Ho.<BR>\n" );
document.write( "You have some evidence the students require less sleep.<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );