document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309892>Question 309892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> waiting times<BR>\n" );
document.write( "single line: 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7<BR>\n" );
document.write( "individual line: 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0<BR>\n" );
document.write( "a)Find the mean, median, mode, variance, standard deviation, and range of each data set. Which appears to be the fastest?<BR>\n" );
document.write( "b)Perform a hypothesis test to see if one method appears to be efficient than the other. (Hint: test 2 means). Show the null and alternative hypotheses, the critical value at 0.05, the test statistic, and the P-value. Lastly show (explain) your conclusion. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221679 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=221679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> waiting times<BR>\n" );
document.write( "single line: 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7<BR>\n" );
document.write( "sample mean = 7.15 ; sample std = 0.4767<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "individual line: 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0<BR>\n" );
document.write( "sample mean = 7.15 ; sample std = 1.8216<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "a)Find the mean, median, mode, variance, standard deviation, and range of each data set. Which appears to be the fastest?<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "b)Perform a hypothesis test to see if one method appears to be more <BR>\n" );
document.write( "efficient than the other. (Hint: test 2 means). <BR>\n" );
document.write( "Show the null and alternative hypotheses,<BR>\n" );
document.write( "Ho: u1-u2 = 0<BR>\n" );
document.write( "Ha: u1-u2 is not zero<BR>\n" );
document.write( "--------------------------- <BR>\n" );
document.write( "the critical value at 0.05::: z = +-1.96<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "the test statistic:::: z(7.15-7.15) = 0<BR>\n" );
document.write( "and the P-value::::: = 2*P(z> 0) = 1.00<BR>\n" );
document.write( "------<BR>\n" );
document.write( ". Lastly show (explain) your conclusion.<BR>\n" );
document.write( "Fail to reject Ho.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Comment: This was a no-test test. Strange.<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );