document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=259813>Question 259813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A new cell phone battery is being considered as a replacement for the current one. Ten college student cell phone users are selected to try each battery in their usual mix of “talk” and “standby” and to record the number of hours until recharge was needed. The data is <BR>\n" );
document.write( "Participant	New Battery	Old Battery<BR>\n" );
document.write( "Bob	45	52<BR>\n" );
document.write( "May	41	34<BR>\n" );
document.write( "Deno	53	40<BR>\n" );
document.write( "Sri	40	38<BR>\n" );
document.write( "Pat	43	38<BR>\n" );
document.write( "Alexis	43	44<BR>\n" );
document.write( "Scott	49	34<BR>\n" );
document.write( "Aretha	39	45<BR>\n" );
document.write( "Jen	41	28<BR>\n" );
document.write( "Ben	43	33\r<BR>\n" );
document.write( "\n" );
document.write( "a) What are the null and alternative hypotheses to test if the new battery has longer life than the old battery?<BR>\n" );
document.write( "b) Use Excel to perform the hypothesis test using &#945; = 0.05.<BR>\n" );
document.write( "c) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.<BR>\n" );
document.write( "d) What is the p-value for the hypothesis test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191607 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=191607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A new cell phone battery is being considered as a replacement for the current one. Ten college student cell phone users are selected to try each battery in their usual mix of “talk” and “standby” and to record the number of hours until recharge was needed. The data is <BR>\n" );
document.write( "Participant	New Battery	Old Battery<BR>\n" );
document.write( "Bob	.............45	.............52<BR>\n" );
document.write( "May	.............41	.............34<BR>\n" );
document.write( "Deno	.............53	.............40<BR>\n" );
document.write( "Sri	.............40	.............38<BR>\n" );
document.write( "Pat	.............43	.............38<BR>\n" );
document.write( "Alexis	.............43	.............44<BR>\n" );
document.write( "Scott	.............49	.............34<BR>\n" );
document.write( "Aretha	.............39	.............45<BR>\n" );
document.write( "Jen	.............41	.............28<BR>\n" );
document.write( "Ben	.............43	.............33\r<BR>\n" );
document.write( "\n" );
document.write( "a) What are the null and alternative hypotheses to test if the new battery has longer life than the old battery?<BR>\n" );
document.write( "Ho: u(new)-u(old) = 0<BR>\n" );
document.write( "Ha: u(new)-u(old) > 0<BR>\n" );
document.write( "----------------------\r<BR>\n" );
document.write( "\n" );
document.write( "b) Use Excel to perform the hypothesis test using alpha = 0.05.<BR>\n" );
document.write( "I used a TI to get:<BR>\n" );
document.write( "ts: t = 1.9646<BR>\n" );
document.write( "p = 0.0341---<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "c) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.<BR>\n" );
document.write( "Since the p-value is less than 5% reject the equality of the old and <BR>\n" );
document.write( "the new have equal battery life.<BR>\n" );
document.write( "------------------------------------------------------- <BR>\n" );
document.write( "d) What is the p-value for the hypothesis test?<BR>\n" );
document.write( "p = 0.0341---<BR>\n" );
document.write( "======================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );