document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128715>Question 128715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Plese help me.  I am stuck with this question.  Thank you kindly\r<BR>\n" );
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document.write( "A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At &#945; = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94159 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=94159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At &#945; = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule<BR>\n" );
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document.write( "Ho: variance(matinee)-variance(evening) = 0<BR>\n" );
document.write( "Ha: variance (matinee)-variance (evening) is not equal to 0<BR>\n" );
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document.write( "Matinee DATA: n1=22 ; variance = 3.02^2 = 9.12 ; df=21-----denominator<BR>\n" );
document.write( "Evening DATA; n1=25 ; variance = 2.14^2 = 4.58 ; df=24-----numerator<BR>\n" );
document.write( "Two-tailed F-test with alpha = 5%<BR>\n" );
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document.write( "Test statistic: F= 4.58/9.12=0.5021<BR>\n" );
document.write( "p-value = 0.1056<BR>\n" );
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document.write( "Conclusion: Fail to reject Ho.<BR>\n" );
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document.write( "Comment: I do not have an F-chart that shows critical <BR>\n" );
document.write( "values for a two-tailed test with alpha=5%. <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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