In: Statistics and Probability
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.)