document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132974>Question 1132974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ) Here we consider the sleep habits of med students versus non-med students. The study consists of the hours of sleep per day obtained from 24 med students and 32 non-med students. The summarized data is given in the table. Here, x¯ is the mean hours of sleep per day from each sample. The degrees of freedom (d.f.) that you must use in your calculations are given below.\r<BR>\n" );
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document.write( "Student Type	n	x¯	s2	s<BR>\n" );
document.write( "Med (x1)	24	5.9	0.7921	0.89<BR>\n" );
document.write( "Non-Med (x2)	32	6.5	1.8225	1.35<BR>\n" );
document.write( "degrees of freedom: d.f. = 53<BR>\n" );
document.write( "Test the claim that the mean hours of sleep for med and non-med students is different. Use a 0.05 significance level.\r<BR>\n" );
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document.write( "(a) Find the test statistic. \r<BR>\n" );
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document.write( "(b) Find the P-value. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750139 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=750139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The test statistic is a t with df=54 (n1+n2-2)<BR>\n" );
document.write( "critical value is |t|>2.01<BR>\n" );
document.write( "calculated t value is -2 which gives a p-value of 0.0506 </SPAN>\n" );
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