document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217683>Question 217683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the answers are provided I just need to put in word format and do not understand it\r<BR>\n" );
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document.write( "10.29 Examine the data below showing the weights (in pounds) of randomly selected checked bags for<BR>\n" );
document.write( "an airline's flights on the same day. (a) At &#945; = .05, is the mean weight of an international bag greater?<BR>\n" );
document.write( "Show the hypotheses, decision rule, and test statistic. (b) At &#945; = .05, is the variance greater for bags on<BR>\n" );
document.write( "an international flight? Show the hypotheses, decision rule, and test statistic.<BR>\n" );
document.write( "Luggage<BR>\n" );
document.write( "International (10 bags) Domestic (15 bags)<BR>\n" );
document.write( "39 47 29 37 43<BR>\n" );
document.write( "54 48 36 33 42<BR>\n" );
document.write( "46 28 33 29 32<BR>\n" );
document.write( "39 54 34 43 35<BR>\n" );
document.write( "69 62 38 39 39<BR>\n" );
document.write( "10.29 See attached output from Megastat<BR>\n" );
document.write( "(a) H 0: &#956;1 &#8804; &#956;2, H1: &#956;1 > &#956;2, df = 11 for unequal variances. x1 = 48.60, s21 = 141.38, x2 = 36.13, s22 =<BR>\n" );
document.write( "20.981, t = 3.163, p&#8208;value = .0045, so reject H0 at &#945; = .05. International bags are heavier.<BR>\n" );
document.write( "(b) H 0: &#963;12 &#8804; &#963;22, H1: &#963;22 > &#963;22, df1 = 11, df2 = 14. For two&#8208;tailed test, FR = F9,14 = 2.65, and FL =<BR>\n" );
document.write( "1/F12,9 = 1/3.07 = .33. Since F = 6.74, international bags have greater variance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164105 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=164105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10.29 Examine the data below showing the weights (in pounds) of randomly selected checked bags for<BR>\n" );
document.write( "an airline's flights on the same day. (a) At &#945; = .05, is the mean weight of an international bag greater?<BR>\n" );
document.write( "Show the hypotheses, decision rule, and test statistic. (b) At &#945; = .05, is the variance greater for bags on<BR>\n" );
document.write( "an international flight? Show the hypotheses, decision rule, and test statistic.<BR>\n" );
document.write( "Luggage<BR>\n" );
document.write( "International (10 bags) Domestic (15 bags)<BR>\n" );
document.write( "39 47 ..................29 37 43<BR>\n" );
document.write( "54 48 ..................36 33 42<BR>\n" );
document.write( "46 28 ..................33 29 32<BR>\n" );
document.write( "39 54 ..................34 43 35<BR>\n" );
document.write( "69 62 ..................38 39 39<BR>\n" );
document.write( "10.29 See attached output from Megastat<BR>\n" );
document.write( "(a) Ho: &#956;1 &#8804; &#956;2, <BR>\n" );
document.write( "----H1: &#956;1 > &#956;2,<BR>\n" );
document.write( "Comment: Above are the hypotheses for test if the international<BR>\n" );
document.write( "weights are greater than the domestic bag weights.<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "df = 11 for unequal variances.<BR>\n" );
document.write( "Comment: Megastant uses its own formula for determining the degrees of<BR>\n" );
document.write( "freedom.<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "x1 = 48.60, s21 = 141.38, <BR>\n" );
document.write( "x2 = 36.13, s22 = 20.981, <BR>\n" );
document.write( "Comment: Above are the sample means and the sample standard deviations<BR>\n" );
document.write( "for the two sets of data.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "t = 3.163, p&#8208;value = .0045,<BR>\n" );
document.write( "Comment: t is the test statistic and corresponding p-value<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "so reject H0 at &#945; = .05. International bags are heavier.<BR>\n" );
document.write( "Comment: Since the p-value is less than 5%, you reject Ho.<BR>\n" );
document.write( "You they conclude that H1 is correct.<BR>\n" );
document.write( "-----------------------------------------------------------------<BR>\n" );
document.write( "(b) Ho: &#963;12 &#8804; &#963;22, <BR>\n" );
document.write( "----H1: &#963;22 > &#963;22,<BR>\n" );
document.write( "Comment: Hypoteses for testing variances.<BR>\n" );
document.write( "------------------------------------------------- <BR>\n" );
document.write( "df1 = 11, df2 = 14.<BR>\n" );
document.write( "Comment: degrees of freedom<BR>\n" );
document.write( "------------------------------------------------- <BR>\n" );
document.write( "For two&#8208;tailed test, FR = F9,14 = 2.65, and FL = 1/F12,9 = 1/3.07 = .33.<BR>\n" );
document.write( "Comment: It is a 2-tail test so you have a right(FR) and a left(FL)<BR>\n" );
document.write( "critical value to consider.<BR>\n" );
document.write( "----------------------------------- <BR>\n" );
document.write( "Since F = 6.74, international bags have greater variance.<BR>\n" );
document.write( "Comment: Megastant finds that the test statistic is F=6.74<BR>\n" );
document.write( "which is to the right of 2.65 so you reject Ho and accept<BR>\n" );
document.write( "H1.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );