document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197943>Question 1197943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distribution of study times for first year students follows a Normal distribution with standard deviation  = 55 minutes. Suppose a sample of 341 students found that the mean study time for these students was <BR>\n" );
document.write( "= 189 minutes per week. Use this to find a 95% confidence interval to estimate the mean study time for all students.\r<BR>\n" );
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document.write( "We are 95% confident that the mean study time for first year students is between\r<BR>\n" );
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document.write( " ______ minutes and _______ minutes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831417 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Previously addressed:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ME+=+z%2Asigma%2Fsqrt%28n%29 ALIGN=MIDDLE  ALT=\"ME+=+z%2Asigma%2Fsqrt%28n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " 95% confidence interval:  z = 1.96<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ME+=+1.96%2A55%2Fsqrt%28341%29 ALIGN=MIDDLE  ALT=\"ME+=+1.96%2A55%2Fsqrt%28341%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.84<BR>\n" );
document.write( " 189 ± 5.84<BR>\n" );
document.write( "We are 95% confident that the mean study time for first year students is between<BR>\n" );
document.write( "183.16 minutes and 194.84 minutes.<BR>\n" );
document.write( "Round as directed<BR>\n" );
document.write( " </SPAN>\n" );
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