document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198310>Question 198310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Harold Hacker recently read in a national golf magazine that the average weekend golfer carries a handicap of 15 strokes and the standard deviation is 4 strokes. Harold manages a local men’s church league and just tallied the end-of-season totals. The 64 players in Harold’s league finished the year with an average handicap of 14 strokes.\r<BR>\n" );
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document.write( "		a.	Set up the null and alternative hypotheses to test if the average handicap in Harold’s league is not the same as the national average reported in the magazine.\r<BR>\n" );
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document.write( "		b.	Test your hypothesis using &#61537; = 0.02.\r<BR>\n" );
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document.write( "		c.	Find the p value.\r<BR>\n" );
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document.write( "		d.	Based on Harold’s end-of-season data, what can you conclude?<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 #148780 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=148780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Harold Hacker recently read in a national golf magazine that the average weekend golfer carries a handicap of 15 strokes and the standard deviation is 4 strokes. Harold manages a local men’s church league and just tallied the end-of-season totals. The 64 players in Harold’s league finished the year with an average handicap of 14 strokes.<BR>\n" );
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document.write( "a. Set up the null and alternative hypotheses to test if the average handicap in Harold’s league is not the same as the national average reported in the magazine. <BR>\n" );
document.write( "Ho: u = 15<BR>\n" );
document.write( "Ha: u is not equal to 15<BR>\n" );
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document.write( "b. Test your hypothesis using alpha = 0.02:<BR>\n" );
document.write( "Test statistic:<BR>\n" );
document.write( "t(14) = (14-15)/[4/sqrt(64)] = -2<BR>\n" );
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document.write( "c. Find the p value. <BR>\n" );
document.write( "p-value for 2-tail test = 2*P(t < -2 with df = 63)<BR>\n" );
document.write( "= 2 * 0.0249 = 0.0498<BR>\n" );
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document.write( "d. Based on Harold’s end-of-season data, what can you conclude?<BR>\n" );
document.write( "Since the p-value is greater than 2%, fail to reject Ho.<BR>\n" );
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document.write( "His group's average does not statistically differ from the <BR>\n" );
document.write( "declared national average.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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