document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188973>Question 188973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ages for the 2005 Boston Red Sox pitchers are shown below. (a) Assuming this is a random sample<BR>\n" );
document.write( "of major league pitchers, at the 5 percent level of significance does this sample show that the<BR>\n" );
document.write( "true mean age of all American League pitchers is over 30 years? State your hypotheses and decision<BR>\n" );
document.write( "rule and show all work. (b) If there is a difference, is it important? (c) Find the p-value and<BR>\n" );
document.write( "interpret it. \r<BR>\n" );
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document.write( "Ages of Boston Red Sox Pitchers, October 2005<BR>\n" );
document.write( "Arroyo 28 Foulke 33 Mantei 32 Timlin 39<BR>\n" );
document.write( "Clement 31 Gonzalez 30 Miller 29 Wakefield 39<BR>\n" );
document.write( "Embree 35 Halama 33 Myers 36 Wells 42 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141779 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=141779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Ages for the 2005 Boston Red Sox pitchers are shown below. <BR>\n" );
document.write( "(a) Assuming this is a random sample of major league pitchers, at the 5 percent level of significance does this sample show that the true mean age of all American League pitchers is over 30 years? <BR>\n" );
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document.write( "Ho: u = 30<BR>\n" );
document.write( "Ha: u > 30<BR>\n" );
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document.write( "State your hypotheses and decision rule and show all work.<BR>\n" );
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document.write( "1st: Find the mean value of the sample (xbar); note the standard deviation (s).<BR>\n" );
document.write( "2nd : Find the Critical value for \"t\" when df = n-2 and alpha = 5%<BR>\n" );
document.write( "3rd: Find the test statistic using t(xbar) = (xbar-30)/[s/sqrt(n)]<BR>\n" );
document.write( "4th: Find the p-value = P(t > t(xbar) when df= n-1) <BR>\n" );
document.write( " <BR>\n" );
document.write( "(b) If there is a difference, is it important? <BR>\n" );
document.write( "(c) Find the p-value and interpret it. <BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Ages of Boston Red Sox Pitchers, October 2005<BR>\n" );
document.write( "Arroyo 28 Foulke 33 Mantei 32 Timlin 39<BR>\n" );
document.write( "Clement 31 Gonzalez 30 Miller 29 Wakefield 39<BR>\n" );
document.write( "Embree 35 Halama 33 Myers 36 Wells 42<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Comment: <BR>\n" );
document.write( "Let me know if you need more help.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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