document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181768>Question 1181768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> B. In a certain city, a researcher wishes to determine whether the average income of residents is P13, 000. Using a sample of 22 residents, he found a mean income of P13 565.25 with a standard deviation of P2500. At 𝛼=0.01, can the researcher conclude that the average income of the population is indeed P13 000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811705 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=811705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: mu is 13000<BR>\n" );
document.write( "Ha: mu is not 13000<BR>\n" );
document.write( "alpha=0.01 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a t(0.995, df=21) with critical value |t| > 2.831<BR>\n" );
document.write( "calculation is t=(13565.25-13000)/2500/sqrt(22)<BR>\n" );
document.write( "=565.25*sqrt(22)/2500<BR>\n" );
document.write( "=1.061<BR>\n" );
document.write( "insufficient evidence to reject Ho at the 0.01 level<BR>\n" );
document.write( "p-value=0.30 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );