document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187604>Question 1187604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The table below contains the birth weights in grams of 26 African American babies born at BayState Medical Center in Springfield, Massachusetts in 1986. Compute a 95% confidence interval for birth weight.\r<BR>\n" );
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document.write( "Weight<BR>\n" );
document.write( "2535<BR>\n" );
document.write( "2819<BR>\n" );
document.write( "2942<BR>\n" );
document.write( "2954<BR>\n" );
document.write( "2927<BR>\n" );
document.write( "2941<BR>\n" );
document.write( "2956<BR>\n" );
document.write( "3034<BR>\n" );
document.write( "3077<BR>\n" );
document.write( "3296<BR>\n" );
document.write( "3365<BR>\n" );
document.write( "3407<BR>\n" );
document.write( "3467<BR>\n" );
document.write( "3794<BR>\n" );
document.write( "3835<BR>\n" );
document.write( "1143<BR>\n" );
document.write( "1730<BR>\n" );
document.write( "1931<BR>\n" );
document.write( "2101<BR>\n" );
document.write( "2165<BR>\n" );
document.write( "2258<BR>\n" );
document.write( "2351<BR>\n" );
document.write( "2403<BR>\n" );
document.write( "2359<BR>\n" );
document.write( "2428<BR>\n" );
document.write( "2457\r<BR>\n" );
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document.write( "a)Find the point estimate for the birth weights. Round your answer to 2 decimal places.\r<BR>\n" );
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document.write( "b)Determine the value of tc.Round your answer to 5 decimal places.\r<BR>\n" );
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document.write( "c)Find the margin of error for the confidence interval. Round your answer to 1 decimal place.\r<BR>\n" );
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document.write( "d)Construct the confidence interval for birth weights. Enter your answer as an open interval of the form (a,b) and round to the nearest integer.\r<BR>\n" );
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document.write( "e)Babies weighing less than 2500 grams are considered to be of low birth weight. Can you conclude that the average birth weight is greater than 2500 grams?\r<BR>\n" );
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document.write( "Yes, the entire confidence is above 2500.\r<BR>\n" );
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document.write( "No conclusions can be drawn since the confidence interval contains  <BR>\n" );
document.write( "2500.\r<BR>\n" );
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document.write( "No, the entire confidence interval is below 2500. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819219 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=819219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean or point estimate is 2718.27 gm<BR>\n" );
document.write( "s=639.11 gm<BR>\n" );
document.write( "t(df=25, 0.975)=2.060<BR>\n" );
document.write( "half-interval is t*s/sqrt(n)<BR>\n" );
document.write( "=2.060*639.11/5<BR>\n" );
document.write( "=263.31 gm<BR>\n" );
document.write( "the interval s therefore (2455.96 gm, 2981.58 gm) or (2456, 2982) gm<BR>\n" );
document.write( "No, since 2500 gm is in the CI, cannot conclude average birth rate is different from 2500 gm\r<BR>\n" );
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document.write( "Not clear why need five decimal places given the data, and I did not address that. </SPAN>\n" );
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