document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137905>Question 1137905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey was conducted that asked 1077 people how many books they had read in the past year. Results indicated that x = 15.5 books and s = 17.8 books. Construct a 96​% confidence interval for the mean number of books people read. Interpret the interval.<BR>\n" );
document.write( "Construct a 96​% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice.<BR>\n" );
document.write( "​(Use ascending order. Round to two decimal places as​ needed.)<BR>\n" );
document.write( "A.<BR>\n" );
document.write( "There is a 96​% chance that the true mean number of books read is between <BR>\n" );
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document.write( "B.<BR>\n" );
document.write( "If repeated samples are​ taken, 96​% of them will have a sample mean between <BR>\n" );
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document.write( "C.<BR>\n" );
document.write( "There is 96​% confidence that the population mean number of books read is between...Blank and Blank </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755782 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> standard error(SE) = 17.8/square root(1077) = 0.5424<BR>\n" );
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document.write( "alpha(a) = 1 - (96/100) = 0.04<BR>\n" );
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document.write( "critical probability(p*) = 1 -(a/2) = 0.98<BR>\n" );
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document.write( "critical value(CV) is the z-score associated with p*<BR>\n" );
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document.write( "CV = 2.05<BR>\n" );
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document.write( "Margin of Error(ME) = CV * SE<BR>\n" );
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document.write( "ME = 2.05 * 0.5424 = 1.1119 is approximately 1.11<BR>\n" );
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document.write( "The 96% confidence interval is 15.5 + or - 1.11, which is (14.39, 16.61) <BR>\n" );
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document.write( "A 96% confidence interval means that we expect that 96% of interval estimates to include the population mean<BR>\n" );
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document.write( "Answer is C. </SPAN>\n" );
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