SOLUTION: I'm in an online class so there is no textbook, please help, thanks. A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchas

Question 135744: I'm in an online class so there is no textbook, please help, thanks.
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.
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?
-------------------------------
Ho: s^2(matinee)-s^2(evening) = 0
Ho: difference is not 0
------------------------
Test statistic: F= s1^2/s2^2 = (2.14)^2/3.02^2 = 0.5021...
--------------
Critical values for two-tail test with alpha-5%:
left tail(F=0.44)
right tail (F=2.27)
------------------------------
Conclusion: Since test stat is not in either rejection interval,
Fail to reject Ho; variances are statistically the same, based
on this test.
====================
Cheers,
Stan H.
RELATED QUESTIONS
Please help with this question, it is an online course so I don't have an ISBN number. (answered by stanbon)

I need help some help in solving this problem, please? A sample of 25 concession stand... (answered by stanbon)

A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky... (answered by stanbon)

Please help! A sample of 25 concession stand purchases at the October 22 matinee of... (answered by stanbon)

Plese help me. I am stuck with this question. Thank you kindly A sample of 25... (answered by stanbon)

I need your help ASAP, Thank you!! A sample of 25 concession stand purchases at the... (answered by stanbon)

A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky... (answered by stanbon)