Question: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $7.29 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 $7.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances.

1. At α = .05, choose the appropriate hypothesis to test whether there is a significant difference in the variances. H ₀ : σ ₁ ² ≠ σ ₂ ² versus H ₀ : σ ₁ ² = σ ₂ ²

H ₀ : σ ₁ ² = σ ₂ ² versus H ₁ : σ ₁ ² ≠ σ ₂ ²

b. At α = .05, determine the F* and the p-value: F* =__ 1.9915 __ p-value =__ 0.0981 ____

c. At α = .05, is there a difference in variances? Yes No

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