document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222354>Question 222354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The historical mean for fish caught at a certain Florida lake is 10 pounds with a standard deviation of 1.2 pounds.  A fishman goes on a Satuday and catches 12 fish whhich had a mean weight of 11 pounds.  Has themean weight of fish at the Florida lake increased?  Use a = .05  Please show calculation to problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166493 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=166493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The historical mean for fish caught at a certain Florida lake is 10 pounds with a standard deviation of 1.2 pounds. A fishman goes on a Satuday and catches 12 fish whhich had a mean weight of 11 pounds. Has themean weight of fish at the Florida lake increased? Use a = .05 Please show calculation to problem.<BR>\n" );
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document.write( "Ho: u = 10<BR>\n" );
document.write( "H1: u > 10<BR>\n" );
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document.write( "Critical value for 1-tail test with alpha = 5% and df = 10: t = 1.7959<BR>\n" );
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document.write( "test statistic: t(11)= (11-10)/[1.2/sqrt(11)] = 2.7639<BR>\n" );
document.write( "p-value = P(t>2.7639 with df=11) = 0.0092<BR>\n" );
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document.write( "Conclusion: since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "The mean wt. at the lake has increased.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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