document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158344>Question 1158344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You wish to test the following claim (Ha) at a significance level of α=0.01.<BR>\n" );
document.write( "Ho:μ=54.4<BR>\n" );
document.write( "Ha:μ<54.4 <BR>\n" );
document.write( "You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=25 with mean M=42.1<BR>\n" );
document.write( "and a standard deviation of SD=15.4. <BR>\n" );
document.write( "What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = ________. <BR>\n" );
document.write( "The p-value is...<BR>\n" );
document.write( "a)less than (or equal to) α<BR>\n" );
document.write( "b)a greater than α <BR>\n" );
document.write( "This p-value leads to a decision to...<BR>\n" );
document.write( "a)reject the null <BR>\n" );
document.write( "b)accept the null<BR>\n" );
document.write( "c)fail to reject the null <BR>\n" );
document.write( "As such, the final conclusion is that...<BR>\n" );
document.write( "a)There is sufficient evidence to warrant rejection of the claim that the population mean is less than 54.4.<BR>\n" );
document.write( "b)There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 54.4.<BR>\n" );
document.write( "c)The sample data support the claim that the population mean is less than 54.4.<BR>\n" );
document.write( "d)There is not sufficient sample evidence to support the claim that the population mean is less than 54.4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781398 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=781398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p-value is 0.0003<BR>\n" );
document.write( "less than alpha<BR>\n" );
document.write( "reject the null<BR>\n" );
document.write( "the sample data support the claim that mu < 54.4<BR>\n" );
document.write( "without the calculator, t(df=0.995, df=24)=(x bar- mean)/15.4/sqrt(25)<BR>\n" );
document.write( "=-/(15.4/5)<BR>\n" );
document.write( "t=-3.99<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );