document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984513>Question 984513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The wait times (in seconds) for fast food service at two burger companies were recorded for quality assurance. Using the data below, find the following for each sample.<BR>\n" );
document.write( "Range<BR>\n" );
document.write( "Standard deviation<BR>\n" );
document.write( "Variance<BR>\n" );
document.write( "Lastly, compare the two sets of results.\r<BR>\n" );
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document.write( "Company	Wait times in seconds<BR>\n" );
document.write( "Big Burger Company	105	67	78	120	175	115	120	59<BR>\n" );
document.write( "The Cheesy Burger	133	124	200	79	101	147	118	125 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605293 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=605293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Big B<BR>\n" );
document.write( "Range is 59 to 175 or 116<BR>\n" );
document.write( "SD is 34.96<BR>\n" );
document.write( "Variance is 1222.29 (square sd)<BR>\n" );
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document.write( "Cheesy<BR>\n" );
document.write( "Range is 79 to 200  or 121<BR>\n" );
document.write( "SD is 35.50<BR>\n" );
document.write( "Variance is 1260.55<BR>\n" );
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document.write( "Add the numbers; square the total, and divide by the number of items in data set.<BR>\n" );
document.write( "Then square each number<BR>\n" );
document.write( "Then add up the squares and divide by number of items in data set.<BR>\n" );
document.write( "Subtract what you did first from what you did second.<BR>\n" );
document.write( "Divide by ONE LESS than the number of items.<BR>\n" );
document.write( "That is the variance.<BR>\n" );
document.write( "Take the square root of the variance, and you have the sd.<BR>\n" );
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document.write( "Compare them with a two sample t-test<BR>\n" );
document.write( "Ho=mu1=mu2<BR>\n" );
document.write( "Ha=not equal<BR>\n" );
document.write( "alpha=0.05 P{reject ho|ho true}<BR>\n" );
document.write( "test stat t with df 16<BR>\n" );
document.write( "critical value: abs(t)> 2.12<BR>\n" );
document.write( "Calculation is difference in means over  sqrt { (s1^2/n1)+(s2^2/n2)}<BR>\n" );
document.write( "Result t=-2.157.  This is greater than the critical value (mean 1 is less), so that one concludes at the p=0.03 level that the means are not equal.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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