document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298272>Question 298272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anybody HELP! with these questions, Greatly appreciated. Thank You All.\r<BR>\n" );
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document.write( "A) What role does a sample play in determining the point estimate?  Let's say we're trying to determine the average age of a town; how might we use a sample to do this?\r<BR>\n" );
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document.write( "B)What is a confidence interval centered on?  How do we determine its width?  What role does the level of confidence play?\r<BR>\n" );
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document.write( "If &#945; = 0.10, and we have a one-tailed situation, what would be the critical value?  What would be the corresponding critical region?\r<BR>\n" );
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document.write( "C)\"Level of confidence\"<BR>\n" );
document.write( " What does the level of confidence tell us about a confidence interval?  What are typical values of the level of confidence?\r<BR>\n" );
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document.write( "Let's say we're trying to prove that the population mean is greater than 15.  What would be the null hypothesis?\r<BR>\n" );
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document.write( "D) \"Type 1 error\" <BR>\n" );
document.write( "   Assume that the analysis was conducted properly; why was the null hypothesis rejected, even though it is true?\r<BR>\n" );
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document.write( "E) \"Critical region\"<BR>\n" );
document.write( "   &#945; is the likelihood of a Type I error.  How do we calculate the critical value, knowing &#945;?  \r<BR>\n" );
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document.write( "F)What is the relationship between the maximum error of estimate and the width of a confidence interval?  How is the maximum error of estimate calculated?\r<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 #214626 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=214626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) What role does a sample play in determining the point estimate? Let's say we're trying to determine the average age of a town; how might we use a sample to do this?<BR>\n" );
document.write( "Take a random sample and find the average of the people in the sample.<BR>\n" );
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document.write( "B)What is a confidence interval centered on?<BR>\n" );
document.write( "It is centered on the mean of a sample.<BR>\n" );
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document.write( " How do we determine its width?<BR>\n" );
document.write( "The width is 2 times the standard error<BR>\n" );
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document.write( " What role does the level of confidence play?<BR>\n" );
document.write( "More confidence requires a wider confidence interval.<BR>\n" );
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document.write( "If &#945; = 0.10, and we have a one-tailed situation, what would be the critical value?<BR>\n" );
document.write( "z = 1.2816..<BR>\n" );
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document.write( " What would be the corresponding critical region?<BR>\n" );
document.write( "10%<BR>\n" );
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document.write( "C)\"Level of confidence\"<BR>\n" );
document.write( "What does the level of confidence tell us about a confidence interval?<BR>\n" );
document.write( "We have a certain confidence that a population parameter is between<BR>\n" );
document.write( "such and such numbers.<BR>\n" );
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document.write( " What are typical values of the level of confidence?<BR>\n" );
document.write( "95%,99%<BR>\n" );
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document.write( "Let's say we're trying to prove that the population mean is greater than 15. What would be the null hypothesis?<BR>\n" );
document.write( "Ho: u <= 15 because equality must ALWAYS be stated in Ho.<BR>\n" );
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document.write( "D) \"Type 1 error\" <BR>\n" );
document.write( "Assume that the analysis was conducted properly; why was the null hypothesis rejected, even though it is true?<BR>\n" );
document.write( "Type I error is the probability Ho is rejected when in fact it is true.<BR>\n" );
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document.write( "E) \"Critical region\"<BR>\n" );
document.write( "&#945; is the likelihood of a Type I error. How do we calculate the critical value, knowing &#945;?<BR>\n" );
document.write( "Find the z or t value(s) that is the boundary for the reject tail(s).<BR>\n" );
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document.write( "F)What is the relationship between the maximum error of estimate and the width of a confidence interval? <BR>\n" );
document.write( "The width of the interval is two times the max error of estimate.<BR>\n" );
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document.write( "How is the maximum error of estimate calculated?<BR>\n" );
document.write( "ME = z*(std) where z depends on the level of confidence\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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