# SOLUTION: I need help some help in solving this problem, please? A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of \$5.29 with

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 Click here to see ALL problems on Probability-and-statistics Question 126188This question is from textbook Applied Statistics in Business and Economics : I need help some help in solving this problem, please? 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 the .05 level of significance, 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(57967)   (Show Source): You can put this solution on YOUR website!I need help some help in solving this problem, please? 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 the .05 level of significance, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule. --------------------------- Ho: s^2(matinee)=s^2(evening) Ha: s^2(matinee) is not equal to s^2(evening) ------------------------------- Two-tailed test with alpha = 0.05 ------------------------------ Test Statistic: F = (2.14)^2/(3.02)^2 = 0.502127 ------------------------------- Critical Value: numerator df's = 24 ; denominator df's = 24 F = 2.27 ----------- Conclusion: Since the Test Statistic is less than the Critical Value, Fail to reject Ho. The variances for matinee and evening are statistically equivalent. ============== Cheers, Stan H.