document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235413>Question 235413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two groups of ten sprinters run 100 meters.  The times required by sprinters in the first group are as follows:<BR>\n" );
document.write( "12.0  12.9  10.1  14.6  11.9  11.3  13.0  12.9  13.3  10.0<BR>\n" );
document.write( "The times required by sprinters in the second group are as follows:<BR>\n" );
document.write( "11.6  12.5  12.3  10.2  16.3  17.0  19.1  18.7  12.3  16.4<BR>\n" );
document.write( "Assuming that  = 0.02, test the hypothesis that the means of the two populations are equal.<BR>\n" );
document.write( "·         State the null and alternate hypotheses<BR>\n" );
document.write( "·         Calculate the mean and standard deviation for each group<BR>\n" );
document.write( "·         Calculate the value of the test statistic.<BR>\n" );
document.write( "·         Determine the critical value(s).<BR>\n" );
document.write( "·         State your decision: Should the null hypothesis be rejected?\r<BR>\n" );
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document.write( "Thank you so very much for helping with this problem. I really do appreciate all of your hard work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173588 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=173588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two groups of ten sprinters run 100 meters. The times required by sprinters in the first group are as follows:<BR>\n" );
document.write( "12.0 12.9 10.1 14.6 11.9 11.3 13.0 12.9 13.3 10.0<BR>\n" );
document.write( "The times required by sprinters in the second group are as follows:<BR>\n" );
document.write( "11.6 12.5 12.3 10.2 16.3 17.0 19.1 18.7 12.3 16.4<BR>\n" );
document.write( "Assuming that alpha = 0.02, test the hypothesis that the means of the two populations are equal.<BR>\n" );
document.write( "· State the null and alternate hypotheses<BR>\n" );
document.write( "Ho: u(1)-u(2) = 0<BR>\n" );
document.write( "Ha: u(1)-u(2) is not 0<BR>\n" );
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document.write( "· Calculate the mean and standard deviation for each group<BR>\n" );
document.write( "Grp 1: mean = 12.2 ; std = 1.445<BR>\n" );
document.write( "Grp 2: mean = 14.64 ; std = 3.202<BR>\n" );
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document.write( "· Calculate the value of the test statistic.<BR>\n" );
document.write( "I ran a 2-Sample Ttest and got the following:<BR>\n" );
document.write( "ts = t = -2.1965<BR>\n" );
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document.write( "· Determine the critical value(s).<BR>\n" );
document.write( "invT(0.01, with df=12.517) = -2.3266<BR>\n" );
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document.write( "· State your decision: Should the null hypothesis be rejected?<BR>\n" );
document.write( "Since the test statistic is not in the reject interval, do not<BR>\n" );
document.write( "reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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