document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151773>Question 1151773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following random sample was selected : 4, 6, 3, 5, 9, 3.  Find the 95% confidence interval for the mean of the population.  See Ex. 2  (Use your graphing calculator to find the mean and sample standard deviation.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773618 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=773618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "mu = population mean<BR>\n" );
document.write( "sample = {4,6,3,5,9,3}<BR>\n" );
document.write( "n = 6 is the sample size\r<BR>\n" );
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document.write( "use a calculator to find that<BR>\n" );
document.write( "xbar = 5 is the sample mean<BR>\n" );
document.write( "s = 2.280 is the approximate sample standard deviation\r<BR>\n" );
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document.write( "At 95% confidence, the critical z value is approximately z = 1.960<BR>\n" );
document.write( "Use a table like this to find the proper critical value<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf\">https://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf</a><BR>\n" );
document.write( "(look at the value in the bottom row just above the 95% confidence level)\r<BR>\n" );
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document.write( "L = lower boundary of confidence interval<BR>\n" );
document.write( "L = xbar - z*s/sqrt(n)<BR>\n" );
document.write( "L = 5 - 1.960*2.280/sqrt(6)<BR>\n" );
document.write( "L = 5 - 1.824<BR>\n" );
document.write( "L = 3.176<BR>\n" );
document.write( "L = 3.18\r<BR>\n" );
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document.write( "U = upper boundary of confidence interval<BR>\n" );
document.write( "U = xbar + z*s/sqrt(n)<BR>\n" );
document.write( "U = 5 + 1.960*2.280/sqrt(6)<BR>\n" );
document.write( "U = 5 + 1.824<BR>\n" );
document.write( "U = 6.824<BR>\n" );
document.write( "U = 6.82\r<BR>\n" );
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document.write( "The 95% confidence interval is (L, U) = (3.18, 6.82)<BR>\n" );
document.write( "Which can also be expressed as 3.18 < mu < 6.82<BR>\n" );
document.write( "The second version of the answer is in the form L < mu < U.<BR>\n" );
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