document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859874>Question 859874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a local school district claims that the number of school days missed by its teachers due to illness is below the national average of 5. a random sample of 40 teachers provided the data below. at &#945;=0.05, test the district's claim using P-values\r<BR>\n" );
document.write( "\n" );
document.write( "0 3 6 3 3 5 4 1 3 5<BR>\n" );
document.write( "7 3 1 2 3 3 2 4 1 6<BR>\n" );
document.write( "2 5 2 8 3 1 2 5 4 1<BR>\n" );
document.write( "1 1 2 1 5 7 5 4 9 3  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518034 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=518034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a local school district claims that the number of school days missed by its teachers due to illness is below the national average of 5. a random sample of 40 teachers provided the data below. at &#945;=0.05, test the district's claim using P-values <BR>\n" );
document.write( "0 3 6 3 3 5 4 1 3 5<BR>\n" );
document.write( "7 3 1 2 3 3 2 4 1 6<BR>\n" );
document.write( "2 5 2 8 3 1 2 5 4 1<BR>\n" );
document.write( "1 1 2 1 5 7 5 4 9 3 <BR>\n" );
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document.write( "x-bar = 3.4<BR>\n" );
document.write( "std = 2.15<BR>\n" );
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document.write( "Ho: u >= 5.4<BR>\n" );
document.write( "Ha: u < 5.4 (claim)<BR>\n" );
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document.write( "z(3.4) = (3.4-5.4)/[2.15/sqrt(40)] = -2.94<BR>\n" );
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document.write( "p-value:: p-value = P(z < -2.94) = 0.0016<BR>\n" );
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document.write( "Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );