document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261086>Question 261086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10.55 <BR>\n" );
document.write( "Cash withdrawals (in multiples of $20) at an on-campus ATM for a random sample of 30 Fridays and 30 Mondays are shown following. At &#945; = .01, is there a difference in the mean ATM withdrawal on Monday and Friday? (a) Make stacked dot plots of the data (a sketch is OK). (b) State the hypotheses. (c) State the decision rule and sketch it. (d) Find the test statistic. (e) Make a decision. (f) Find the p-value and interpret it. <BR>\n" );
document.write( "Randomly Chosen ATM Withdrawals ($)<BR>\n" );
document.write( "Friday Monday<BR>\n" );
document.write( "250 10 10 40 30 10<BR>\n" );
document.write( "20 10 30 100 70 370<BR>\n" );
document.write( "110 20 10 20 20 10<BR>\n" );
document.write( "40 20 40 30 50 30<BR>\n" );
document.write( "70 10 10 200 20 40<BR>\n" );
document.write( "20 20 400 20 30 20<BR>\n" );
document.write( "10 20 10 10 20 100<BR>\n" );
document.write( "50 20 10 30 40 20<BR>\n" );
document.write( "100 20 20 50 10 20<BR>\n" );
document.write( "20 60 70 60 10 20 <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 #192351 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=192351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cash withdrawals (in multiples of $20) at an on-campus ATM for a random sample of 30 Fridays and 30 Mondays are shown following. <BR>\n" );
document.write( "At &#945; = .01, is there a difference in the mean ATM withdrawal on Monday and Friday? <BR>\n" );
document.write( "(a) Make stacked dot plots of the data (a sketch is OK). <BR>\n" );
document.write( "(b) State the hypotheses.<BR>\n" );
document.write( "Ho: u(mon)-u(fri) = 0<BR>\n" );
document.write( "Ha: u(mon)-u(fri) is not equal to zero<BR>\n" );
document.write( "-------------------------------------------- <BR>\n" );
document.write( "(c) State the decision rule and sketch it.<BR>\n" );
document.write( "df = 30+30-2 = 58<BR>\n" );
document.write( "cv = +/-2.6632 ; <BR>\n" );
document.write( "Reject Ho if t<-2.6632 or t>2.6632<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "(d) Find the test statistic.<BR>\n" );
document.write( "I ran a 2-Sample Ttest and got test stat: t = 0.0168<BR>\n" );
document.write( "------------------------------------------------------ <BR>\n" );
document.write( "(e) Make a decision. <BR>\n" );
document.write( "(f) Find the p-value and interpret it.<BR>\n" );
document.write( "p-value: t = 0.9866<BR>\n" );
document.write( "Interpretation: more than 98% of test results could have given<BR>\n" );
document.write( "stronger evidence for rejecting Ho.<BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "Randomly Chosen ATM Withdrawals ($)\r<BR>\n" );
document.write( "\n" );
document.write( "Friday          Monday<BR>\n" );
document.write( "250 10 10        40 30 10<BR>\n" );
document.write( "20 10 30       100 70 370<BR>\n" );
document.write( "110 20 10         20 20 10<BR>\n" );
document.write( "40 20 40      30 50 30<BR>\n" );
document.write( "70 10 10       200 20 40<BR>\n" );
document.write( "20 20 400       20 30 20<BR>\n" );
document.write( "10 20 10       10 20 100<BR>\n" );
document.write( "50 20 10        30 40 20<BR>\n" );
document.write( "100 20 20        50 10 20<BR>\n" );
document.write( "20 60 70       60 10 20 <BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Friday sample mean: 50.33<BR>\n" );
document.write( "Monday sample mean: 50<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );