Question

In: Statistics and Probability

Randomly selected students were given five seconds to estimate the value of a product of numbers...

Randomly selected students were given five seconds to estimate the value of a product of numbers with the results shown below.
Estimates from students given 1×2×3×4×5×6×7×81×2×3×4×5×6×7×8:

169, 500, 5635, 10000, 45000, 50, 5000, 800, 1000, 200169, 500, 5635, 10000, 45000, 50, 5000, 800, 1000, 200

Estimates from students given 8×7×6×5×4×3×2×18×7×6×5×4×3×2×1:

400, 40320, 500, 350, 450, 225, 1500, 428, 550, 40000400, 40320, 500, 350, 450, 225, 1500, 428, 550, 40000

Use a 0.050.05 significance level to test ?0:?21=?22H0:σ12=σ22 vs. ??:?21≠?22Ha:σ12≠σ22 :

(a) The test statistic is

(b) The larger critical value is

(c) The conclusion is
A. There is not sufficient evidence to reject the claim that the two populations have equal variances. (So, we can assume the variances are equal.)
B. There is sufficient evidence to reject of the claim that the two populations have equal variances. (So, we can assume the variances are unequal.)

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