document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063468>Question 1063468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (5 points) For the following data set<BR>\n" );
document.write( "136 141 137 145<BR>\n" );
document.write( "131 135 138 136<BR>\n" );
document.write( "130 132 136 134<BR>\n" );
document.write( "137 133 141 139<BR>\n" );
document.write( "Table 2: Data set Exercise 2<BR>\n" );
document.write( "Construct a\r<BR>\n" );
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document.write( "1. 90% confidence interval for the population mean;<BR>\n" );
document.write( "2. 95% confidence interval for the population mean;<BR>\n" );
document.write( "3. 99% confidence interval for the population mean;<BR>\n" );
document.write( "4. What assumption do you need to make about the population of interest to construct the confidence<BR>\n" );
document.write( "intervals </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678667 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=678667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean of x is 136.31 to two decimal places<BR>\n" );
document.write( "s=3.96<BR>\n" );
document.write( "The general form of a CI is<BR>\n" );
document.write( "for ci of 1-alpha, x bar+/- t(df=15,alpha/2)s/sqrt (n)<BR>\n" );
document.write( "so for 90%, where t=1.753, 136.31+/-1.753*(3.96/4)=136.31 +/-1.74 or (134.57, 138.05)<BR>\n" );
document.write( "for 95%, where t=2.1314, 136.31+/- 2.1314*0.99=136.31+/-2.11 or (134.20, 138.42)<BR>\n" );
document.write( "for 99%, where t=2.9467, 136.31+/- 2.9467*0.99=136.31+/-2.92 or (133.39, 139.23)<BR>\n" );
document.write( "Assumptions: population is normally distributed and standard deviation of the sample is an unbiased estimator of the standard deviation of the population. </SPAN>\n" );
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