document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479432>Question 479432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The water quality is acceptable if the mean amount of suspended solids is less than 49. Construct an &#945;= .05 test to establish that the quality is acceptable.<BR>\n" );
document.write( "X=47 S=9.4 degrees of freedom=13<BR>\n" );
document.write( "(a)Specify H0 and H1.<BR>\n" );
document.write( "(b)State the test statistic.<BR>\n" );
document.write( "(c)What does the test conclude? <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 #328639 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=328639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The water quality is acceptable if the mean amount of suspended solids is less than 49. Construct an &#945;= .05 test to establish that the quality is acceptable.<BR>\n" );
document.write( "X=47 S=9.4 degrees of freedom=13<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "(a)Specify <BR>\n" );
document.write( "H0: u >= 49 <BR>\n" );
document.write( "H1: u < 49 (?)<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(b)State the test statistic<BR>\n" );
document.write( "t(47) = (47-49)/[9.4/sqrt(14)) = -2/[2.51] = -0.7961<BR>\n" );
document.write( "----<BR>\n" );
document.write( "p-value = P(t<-0.7961 when df = 13) = tcdf(-100,-0.7961,13) = 0.22<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(c)What does the test conclude?<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "The test results indicate the water quality is not acceptable.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );