document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976533>Question 976533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following hypothesis: Ho:u=100   H1: u&#8800;100.<BR>\n" );
document.write( "A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Assume a normal population. Using the .05 significance level, can we conclude the mean is different from 100?<BR>\n" );
document.write( "a. State the decision rule.<BR>\n" );
document.write( "b. Compute the value of the test static.<BR>\n" );
document.write( "c. What is your decision regarding the null hypothesis?<BR>\n" );
document.write( "d. Estimate the p-value.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598143 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=598143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Two Tailed test, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%3E=0.025 ALIGN=MIDDLE  ALT=\"p%3E=0.025\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=111.67 ALIGN=MIDDLE  ALT=\"x=111.67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=6.055 ALIGN=MIDDLE  ALT=\"s=6.055\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5Bm%5D=6.055%2Fsqrt%286%29=2.472 ALIGN=MIDDLE  ALT=\"s%5Bm%5D=6.055%2Fsqrt%286%29=2.472\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%28x-mu%29%2Fs%5Bm%5D=%28111.67-100%29%2F2.472=4.72 ALIGN=MIDDLE  ALT=\"t=%28x-mu%29%2Fs%5Bm%5D=%28111.67-100%29%2F2.472=4.72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The critical t value for 5 dof is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bc%5D=2.571 ALIGN=MIDDLE  ALT=\"t%5Bc%5D=2.571\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c) Since the calculated t value is greater than critical t value, reject the null hypothesis.<BR>\n" );
document.write( "d) Using EXCEL TDIST function, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.005245 ALIGN=MIDDLE  ALT=\"p=0.005245\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );