document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=770189>Question 770189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) One of the many concerns of college students today is the time required for them to graduate with a baccalaureate degree (BA or BS). Current estimates in the California public university system is that takes an average of slightly over 5 years for a student to complete a baccalaureate degree. One researcher suggests that males take a significantly longer average time than females to complete a baccalaureate degree. What is the correct hypotheses to test in an attempt to support the claim of this researcher? Let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.<BR>\n" );
document.write( "Choose one answer.<BR>\n" );
document.write( "A. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2>0<BR>\n" );
document.write( "B. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2<0<BR>\n" );
document.write( "C. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2 \neq 0<BR>\n" );
document.write( "D. H_0:\mu_1-\mu_2>0 \\ H_a:\mu_1-\mu_2 \neq 0<BR>\n" );
document.write( "E. None of the above<BR>\n" );
document.write( "2) Marks: 6<BR>\n" );
document.write( "In the situation of Problem 1 above, suppose that two independent random samples from approximately normal distributions were taken from recent college graduates of the California public university system. As before, we let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and we let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.<BR>\n" );
document.write( "Using the summary data below from the two samples, compute the value of the test statistic t^*.<BR>\n" );
document.write( "{\bar{x_1}=4.95 \bar{x_2}=5.22<BR>\n" );
document.write( "s_1=0.64 s_2=0.89<BR>\n" );
document.write( "n_1=21 n_2=21<BR>\n" );
document.write( "Choose one answer.<BR>\n" );
document.write( "A. -1.78<BR>\n" );
document.write( "B. -1.59<BR>\n" );
document.write( "C. -1.13<BR>\n" );
document.write( "D. -1.00<BR>\n" );
document.write( "E. -0.84  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469361 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=469361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) One of the many concerns of college students today is the time required for them to graduate with a baccalaureate degree (BA or BS). Current estimates in the California public university system is that takes an average of slightly over 5 years for a student to complete a baccalaureate degree. <BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "One researcher suggests that males take a significantly longer average time than females to complete a baccalaureate degree. <BR>\n" );
document.write( "Note: This implies that mu1 is less than mu2<BR>\n" );
document.write( "or mu1-mu2 < 0<BR>\n" );
document.write( "Since that statement does not include the \"equality\" it must be H(a)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Answer:: B<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "What is the correct hypotheses to test in an attempt to support the claim of this researcher? Let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.<BR>\n" );
document.write( "Choose one answer.<BR>\n" );
document.write( "A. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2>0<BR>\n" );
document.write( "B. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2<0<BR>\n" );
document.write( "C. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2 \neq 0<BR>\n" );
document.write( "D. H_0:\mu_1-\mu_2>0 \\ H_a:\mu_1-\mu_2 \neq 0<BR>\n" );
document.write( "E. None of the above<BR>\n" );
document.write( "--------------------------------------------------<BR>\n" );
document.write( "2) Marks: 6<BR>\n" );
document.write( "In the situation of Problem 1 above, suppose that two independent random samples from approximately normal distributions were taken from recent college graduates of the California public university system. As before, we let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and we let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.<BR>\n" );
document.write( "Using the summary data below from the two samples, compute the value of the test statistic t^*.<BR>\n" );
document.write( "{\bar{x_1}=4.95 \bar{x_2}=5.22<BR>\n" );
document.write( "s_1=0.64 s_2=0.89<BR>\n" );
document.write( "n_1=21 n_2=21<BR>\n" );
document.write( "Choose one answer.<BR>\n" );
document.write( "A. -1.78<BR>\n" );
document.write( "B. -1.59<BR>\n" );
document.write( "C. -1.13<BR>\n" );
document.write( "D. -1.00<BR>\n" );
document.write( "E. -0.84<BR>\n" );
document.write( "(4.95-5.22)/sqrt[(0.64^2/21)+(0.89^2/21)] = -1.13<BR>\n" );
document.write( "Answer: C<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" );