document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058595>Question 1058595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The owner of Britten’s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 19 chickens shows they produced an average of 18 eggs per month with a standard deviation of 4 eggs per month. (Use  t Distribution Table.)<BR>\n" );
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document.write( "a.	What is the value of the population mean?<BR>\n" );
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document.write( "	a.) 4<BR>\n" );
document.write( "	b.) It is unknown.<BR>\n" );
document.write( "	c.) 18<BR>\n" );
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document.write( "b.	What is the best estimate of this value?<BR>\n" );
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document.write( "             Best estimate: 	<BR>\n" );
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document.write( "c.	<BR>\n" );
document.write( "For a 98% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)<BR>\n" );
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document.write( "  Value of t:	<BR>\n" );
document.write( "  <BR>\n" );
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document.write( "d.	<BR>\n" );
document.write( "Develop the 98% confidence interval for the population mean. (Round your answers to 2 decimal places.)<BR>\n" );
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document.write( "  Confidence interval from      to     .<BR>\n" );
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document.write( "e-1.	Would it be reasonable to conclude that the population mean is 19 eggs?<BR>\n" );
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document.write( "	a.) No<BR>\n" );
document.write( "	b.) Yes<BR>\n" );
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document.write( "e-2.	What about 24 eggs?<BR>\n" );
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document.write( "	a.) No<BR>\n" );
document.write( "	b.) Yes<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 #673676 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.  The answer is b,<BR>\n" );
document.write( "The best estimate is the sample mean of 18 eggs/mo.<BR>\n" );
document.write( "98% CI interval width is t(df=18,0.99)s/sqrt(n); t=2.552.<BR>\n" );
document.write( "That is 2.552*4/sqrt(19)=2.342<BR>\n" );
document.write( "(15.66, 20.34)<BR>\n" );
document.write( "Yes, it would be reasonable, because 19 is in the interval.<BR>\n" );
document.write( "No, because 24 is not in the interval.\r<BR>\n" );
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