document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404732>Question 404732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample survey of 54 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $33.77. The survey is conducted annually. WIth the histiorical data available, assume a known population standard deviation of $15.<BR>\n" );
document.write( "a. Using the sample datta, what is the margin of error associated with a 95% confidence interval?<BR>\n" );
document.write( "b. Develop 95% confidence interval for the mean price charged by discount brokers for a trade of 100 shares at $50 per share.<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 #286009 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=286009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample survey of 54 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $33.77. The survey is conducted annually. WIth the historical data available, assume a known population standard deviation of $15.<BR>\n" );
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document.write( "a. Using the sample data, what is the margin of error associated with a 95% confidence interval?<BR>\n" );
document.write( "ME = (t-value of 0.95 with df = 100)[s/sqrt(n)]<BR>\n" );
document.write( "ME = (1.9842)[15/sqrt(100)] = 2.9763<BR>\n" );
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document.write( "b. Develop 95% confidence interval for the mean price charged by discount brokers for a trade of 100 shares at $50 per share.<BR>\n" );
document.write( "95%CI: 33.77-2.9763 < u < 33.77+2.9763<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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