document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181998>Question 1181998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hospital is studying the delivery time of two laundry companies. The hospital has been using Company A for the past year and is basically satisfied with time the company takes to return laundry to the hospital. The hospital is prepared to stay with Company A if the mean delivery time is the same as or less than that of a competitor company - Company B.  However, if the hospital finds that the mean delivery time of Company B is less than that of Company A, it will start using the laundry services of Company B.  Independent samples showed the following delivery time characteristics for the two companies.<BR>\n" );
document.write( "Company A<BR>\n" );
document.write( "n1 = 20<BR>\n" );
document.write( "X1 = 10 days<BR>\n" );
document.write( "s1 = 3 days	\r<BR>\n" );
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document.write( "Company B<BR>\n" );
document.write( "n1 = 30<BR>\n" );
document.write( "X2 = 12.5 days<BR>\n" );
document.write( "s1 = 2 days\r<BR>\n" );
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document.write( "What are the null and alternative hypotheses for this situation?\r<BR>\n" );
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document.write( "With an α  = .05, what is your conclusion for the hypotheses from part (a)?  What action do you recommend in terms of which laundry company the hospital should contract?\r<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 #812075 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=812075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: meanA <=mean B<BR>\n" );
document.write( "Ha: mean A > mean B<BR>\n" );
document.write( "alpha=0.05 P{reject Ho| Ho true}<BR>\n" );
document.write( "test is a 2-sample t-test<BR>\n" );
document.write( "reject Ho if t>1.675<BR>\n" );
document.write( "test is a t (df=48)=(meanA-mean B)/sqrt (s1^2*/na)+(s2^2/(nb))<BR>\n" );
document.write( "=(-2.5)/sqrt((9/20)+(4/30))<BR>\n" );
document.write( "=-2.5/sqrt(0.583)<BR>\n" );
document.write( "=-3.27<BR>\n" );
document.write( "fail to reject Ho; indeed, the data themselves show that A has a a statistically  smaller mean than B. </SPAN>\n" );
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