Question 129892This question is from textbook Applied Statistics in Business and Economics
: I need your help ASAP, Thank you!!
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 α = .05, is there a difference
in variances? Show all steps clearly, including an illustration of the decision rule.
This question is from textbook Applied Statistics in Business and Economics
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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 α = .05, is there a difference
in variances?
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This problem has recently been worked on this site.
Ho: variances are the same
Ha: variances are different (two-tailed F-test)
Critical F-values for alpha = 5%, denominator = 21df; numerator = 24df
= ?
I don't have an F-table that gives values for a 2-tailed test with alpha = 5%
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Test statistic: F = 2.14^2/3.02^2 = 0.50213
If this number is between the critical values, Fail to reject Ho.
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Cheers,
Stan H.
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