document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158339>Question 1158339</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Rutter Nursey Company packages its pine bark mulch in 50-pound bags.  From a long history, distribution follows a normal distribution with the standard deviation of 3 pounds per bag.   A sample of 10 bags found the mean being 48.18 pounds.  Can Ms. Rutter conclude the mean weight of the bags is less than 50 pounds?  Use the .05 significance level.<BR>\n" );
document.write( "a. Which distribution are you using? <BR>\n" );
document.write( "b. State the hypotheses <BR>\n" );
document.write( "c.  Find the critical value(s) <BR>\n" );
document.write( "d. Compute the test statistic. <BR>\n" );
document.write( "e. Given c and d, state your decision </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781408 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=781408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:mean is >=50 lb<BR>\n" );
document.write( "Ha: mean is < 50 lb<BR>\n" );
document.write( "alpha=0.05 P{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a t(0.975 df=9)<BR>\n" );
document.write( "critical value is t<-1.833<BR>\n" );
document.write( "calculation (x bar-mean)/s/sqrt (n)=t<BR>\n" );
document.write( "t=-1.82/3/sqrt(10)<BR>\n" );
document.write( "=-1.92<BR>\n" );
document.write( "reject Ho<BR>\n" );
document.write( "conclude that the mean weight of the bags is <50 lb. <BR>\n" );
document.write( "p-value is 0.04<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );