document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185672>Question 185672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me solve this? Thank you so much.\r<BR>\n" );
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document.write( "The owner of Britton’s Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 25 chickens shows they laid an average of 19 eggs per month with a standard deviation of 2.25 eggs per month.\r<BR>\n" );
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document.write( "a.	What is the best estimate of the population mean?<BR>\n" );
document.write( "b.	For a 99 percent confidence interval, what is the value of t?<BR>\n" );
document.write( "c.	Develop the 99 percent confidence interval for the population mean.  <BR>\n" );
document.write( "               Please identify the lower and upper confidence boundaries. <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 #139279 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=139279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The owner of Britton’s Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 25 chickens shows they laid an average of 19 eggs per month with a standard deviation of 2.25 eggs per month.<BR>\n" );
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document.write( "a. What is the best estimate of the population mean?<BR>\n" );
document.write( "The best estimate is the sample mean: 19 eggs per month<BR>\n" );
document.write( "It is called \"a point estimate\".<BR>\n" );
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document.write( "b. For a 99 percent confidence interval, what is the value of t?<BR>\n" );
document.write( "For df=24 and alpha = 99% the t-value is 2.797<BR>\n" );
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document.write( "c. Develop the 99 percent confidence interval for the population mean.<BR>\n" );
document.write( "E = 2.797[2.25/sqrt(25)] = 1.2587<BR>\n" );
document.write( "99% CI: 19-1.2587 < u < 19+1.2587<BR>\n" );
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document.write( "Please identify the lower and upper confidence boundaries.<BR>\n" );
document.write( "lower: 19-1.2587 = 17.7414<BR>\n" );
document.write( "upper: 19+1.2587 = 2.5174<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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