document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384272>Question 384272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A team of biologist has been studying the childrens fishing pond in Fall-River. Let x represent the length of a single tilapia taken at random from the fishing pond. This group of the biologists has determined that x has a normal distution with mean u equals 10.2 inches and standard deviation o equals 1.4 inches.\r<BR>\n" );
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document.write( "i.) what is the porbability that a single tilapia selected at random from the pond is between 8 and 12 inches long?<BR>\n" );
document.write( "ii.) what is the probability that the mean length x (bar) of five tilapia taken from at random from the pond is between 8 and 12 inches?<BR>\n" );
document.write( "iii.) Is the result in parts a and b the same of different? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272124 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=272124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A team of biologists has been studying the childrens fishing pond in Fall-River. Let x represent the length of a single tilapia taken at random from the fishing pond. This group of the biologists has determined that x has a normal distribution with mean u equals 10.2 inches and standard deviation o equals 1.4 inches. <BR>\n" );
document.write( "i.) what is the probability that a single tilapia selected at random from the pond is between 8 and 12 inches long?<BR>\n" );
document.write( "Using a TI calculator I get:<BR>\n" );
document.write( "Ans: Normalcdf(8,12,10.2,1.4) = 0.8427<BR>\n" );
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document.write( "ii.) what is the probability that the mean length x (bar) of five tilapia taken from at random from the pond is between 8 and 12 inches?<BR>\n" );
document.write( "Ans: normalcdf(8,12,10.2,1.4/sqrt(5)) = 0.9978<BR>\n" );
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document.write( "iii.) Is the result in parts a and b the same or different?<BR>\n" );
document.write( "Different because the standard deviation for the mean of the sample<BR>\n" );
document.write( "is different than the standard deviation of the population.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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