document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056972>Question 1056972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained:<BR>\n" );
document.write( "0.06, 0.11, 0.16, 0.15, 0.14 0.08, 0.15 <BR>\n" );
document.write( "Assuming that this sample is representative of the cars in use, construct a 95% confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars.\r<BR>\n" );
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document.write( "Please also let me know what formulas and tables I need to complete this problem, what variables I need to know for those formulas, and how to identify them, and a step by step breakdown, thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672118 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=672118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained:<BR>\n" );
document.write( "0.06, 0.11, 0.16, 0.15, 0.14 0.08, 0.15<BR>\n" );
document.write( "The sample mean = (sum of those numbers)/7 = 0.12<BR>\n" );
document.write( "The sample standard deviation = 0.04<BR>\n" );
document.write( "Note: You need the formula to get the standard deviation.<BR>\n" );
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document.write( "Assuming that this sample is representative of the cars in use, construct a 95% confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars.<BR>\n" );
document.write( "You need the formula for the Margin of Error:: ME = z*s/sqrt(n)<BR>\n" );
document.write( "ME = 1.96*0.04/sqrt(7) = 0.03<BR>\n" );
document.write( "You need a z-table to find the z-value with a left tail of 2.5%<BR>\n" );
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document.write( "95% Confidence Interval:: sample mean - ME < u < sample mean + ME<BR>\n" );
document.write( "0.12-0.03 < u < 0.12+0.03<BR>\n" );
document.write( "0.09 < u < 0.15 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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