document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058561>Question 1058561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a group is interested in determining whether<BR>\n" );
document.write( "teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.\r<BR>\n" );
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document.write( "Northeast South West Central East<BR>\n" );
document.write( "16.3 16.9 16.4 16.2 17.1<BR>\n" );
document.write( "16.1 16.5 16.5 16.6 17.2<BR>\n" );
document.write( "16.4 16.4 16.6 16.5 16.6<BR>\n" );
document.write( "16.5 16.2 16.1 16.4 16.8<BR>\n" );
document.write( "x ¯<BR>\n" );
document.write( "= ________ ________ ________ ________ ________<BR>\n" );
document.write( "s2 = ________ ________ ________ ________ ________\r<BR>\n" );
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document.write( "my question below\r<BR>\n" );
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document.write( "what is the F statistic =______ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673847 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I only see 4 teenagers in each group<BR>\n" );
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document.write( "We use the formulas for mean and variance<BR>\n" );
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document.write( "sample mean = (summation of x(i) from 1 to n) / n, where n is 4 teenagers in each group<BR>\n" );
document.write( "sample variance = (summation of (x(i)-mean)^2) from 1 to n) / (n-1)<BR>\n" );
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document.write( "sample mean = 16.325 16.5 16.4 16.425 16.925<BR>\n" );
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document.write( "sample variance = 0.02917 0.08667 0.04667 0.02917 0.07583<BR>\n" );
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document.write( "F statistic = max variance / sum of variances = 0.08667 / 0.26751 = 0.324<BR>\n" );
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