document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086809>Question 1086809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local hospital claims its ED mean wait time is less than 45 minutes. A random selection of the wait times of 40 patients is captured and the sample mean wait time is 44 minutes with a sample standard deviation of 3.2 minutes. Assume they are approximately normally distributed. Is there enough evidence to support the claim at &#945; = 0.01? Use a P-value. Will you accept or reject the null hypothesis based on these findings? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701095 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's a one sample t-test.<BR>\n" );
document.write( "Ho: ED wait >= 45 min<BR>\n" );
document.write( "Ha: ED wait < 45 min<BR>\n" );
document.write( "Test statistic is a t-test with t0.995,df=39 = -2.71<BR>\n" );
document.write( "Assuming s is an adequate estimate of sigma, <BR>\n" );
document.write( "t=(44-45)/3.2/sqrt (40)<BR>\n" );
document.write( "=-1*sqrt(40)/3.2=-1.98<BR>\n" );
document.write( "p-value is 0.0276<BR>\n" );
document.write( "fail to reject Ho. The wait may be greater than or equal to 45 minutes at the 0.01 level. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );