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A test for differences in variance.

Randomly selected statistics students were given five seconds to estimate the value of a product of numbers with a summary of the results of both groups given below. Does the order of the numbers appear to have an effect on the variances? Use a 0.05 significance level to test the difference between variances of the two samples. Use the traditional method to perform the test.

Order 1: Estimates from 40 Students Given: 1 X 2 X 3 X 4 X 5 X 6 X 7 X 8
n = 28 x-bar = 28,344.9 s = 5,667.9

Order 2: Estimates from 42 Students Given: 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
n = 25 x-bar = 36,001.0 s = 7,679.4

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Solution Summary

The following outlines the process for using an F-stat to determine if the difference in variances from two randomly selected groups are statistically significant.

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