document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553577>Question 553577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16. A typical college student drinks an average of 96 ounces per day of various beverages that contain caffeine. A sample of 12 students at Wallace College revealed the following amounts of beverages consumed containing caffeine:<BR>\n" );
document.write( "108	96	84	84	120	96	108	132	72	120	72	96	<BR>\n" );
document.write( "Can we conclude that the average amount of beverages consumed containing caffeine at Ownes College is the same as the typical college student? Use the hypothesis testing procedure.<BR>\n" );
document.write( "a.	State the null and alternate hypotheses.<BR>\n" );
document.write( "H0:	__________________________________________________________________	\r<BR>\n" );
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document.write( "H1:	 __________________________________________________________________	<BR>\n" );
document.write( "b.	State the decision rule.<BR>\n" );
document.write( "_______________________________________________________________________	<BR>\n" );
document.write( "Use the table to c.	& d. Compute the mean and standard deviation.\r<BR>\n" );
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document.write( "x                x-xbar       and    x-xbar^2<BR>\n" );
document.write( "108	<BR>\n" );
document.write( "96	<BR>\n" );
document.write( "84	<BR>\n" );
document.write( "84	<BR>\n" );
document.write( "120	<BR>\n" );
document.write( "96	<BR>\n" );
document.write( "108	<BR>\n" );
document.write( "132	<BR>\n" );
document.write( "72	<BR>\n" );
document.write( "120	<BR>\n" );
document.write( "72	<BR>\n" );
document.write( "96	\r<BR>\n" );
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document.write( "e.	Compute the value of the test statistic. \r<BR>\n" );
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document.write( "f.	Formulate the decision rule.<BR>\n" );
document.write( "___________________________________________________________________________<BR>\n" );
document.write( "___________________________________________________________________________<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360946 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=360946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A typical college student drinks an average of 96 ounces per day of various beverages that contain caffeine. A sample of 12 students at Wallace College revealed the following amounts of beverages consumed containing caffeine:<BR>\n" );
document.write( "108 96 84 84 120 96 108 132 72 120 72 96 <BR>\n" );
document.write( "Can we conclude that the average amount of beverages consumed containing caffeine at Ownes College is the same as the typical college student? Use the hypothesis testing procedure.<BR>\n" );
document.write( "a. State the null and alternate hypotheses.<BR>\n" );
document.write( "H0: u = 96 <BR>\n" );
document.write( "H1: u # 96<BR>\n" );
document.write( "-------- <BR>\n" );
document.write( "b. State the decision rule.<BR>\n" );
document.write( "Reject Ho is the test statistic is < -1.96 or > +1.96.<BR>\n" );
document.write( "_______________________________________________________________________ <BR>\n" );
document.write( "Compute the mean and standard deviation. <BR>\n" );
document.write( "x-bar = 99<BR>\n" );
document.write( "std = 19.23<BR>\n" );
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document.write( "e. Compute the value of the test statistic. <BR>\n" );
document.write( "t(99) = (99-96)/[19.23/sqrt(12)] = 0.5404<BR>\n" );
document.write( "f. Formulate the decision rule.<BR>\n" );
document.write( "Since the test statistic is not in either reject interval<BR>\n" );
document.write( "fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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