document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157102>Question 1157102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied.\r<BR>\n" );
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document.write( "...........City MPG, Automatic......City MPG, Manual<BR>\n" );
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document.write( "Mean....|..16.12..................|...19.85<BR>\n" );
document.write( "SD......|..3.58...................|...4.51<BR>\n" );
document.write( "n.......|...26....................|...26\r<BR>\n" );
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document.write( "The hypotheses for this test are:<BR>\n" );
document.write( "Ho: μautomatic = μmanual<BR>\n" );
document.write( "Ha: μautomatic < μmanual<BR>\n" );
document.write( "Ho: μautomatic = μmanual<BR>\n" );
document.write( "Ha: μautomatic ≠ μmanual<BR>\n" );
document.write( "Ho: μautomatic = μmanual<BR>\n" );
document.write( "Ha: μautomatic > μmanual\r<BR>\n" );
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document.write( "The test statistic is: _______ (please round to two decimal places)<BR>\n" );
document.write( "The p-value is: _______ (please round to four decimal places) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780019 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=780019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The wording is \"strong evidence of a difference\" without specifying which direction. This is therefore a two way test, so the pair is = or not =.\r<BR>\n" );
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document.write( "That makes the third and fourth the hypotheses of choice.<BR>\n" );
document.write( "Test stat is -3.30<BR>\n" );
document.write( "p=0.0018\r<BR>\n" );
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document.write( "Normally, I require the hypotheses together to encompass everything, but this belief is not universally agreed upon.  But when Ho is equal, Ha  must be NOT EQUAL. </SPAN>\n" );
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