document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114932>Question 1114932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.\r<BR>\n" );
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document.write( "Claim: The mean time between uses of a TV remote control by males during commercials equals 5.00 sec.<BR>\n" );
document.write( "Sample data: n = 81, x = 5.25 sec, s = 2.80 sec. The significance level is &#945; = 0.01. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729848 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=729848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The test statistic is a t (0.995,df=80) with a critical value of |t|>2.639<BR>\n" );
document.write( "t=(xbar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=(5.25-5)/(2.80/sqrt(81))<BR>\n" );
document.write( "=0.25*9/2.80=2.25/2.80=0.80<BR>\n" );
document.write( "this is not greater than the critical value, so there is insufficient evidence to reject Ho at the 0.01 level or to say the value of 5 seconds is not correct. p-value is 0.42. </SPAN>\n" );
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