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# BB Levene-Brown-Forsythe Test for Comparing Variation in ISBN: 9780321836960 18

## Solution for problem 20BB Chapter 9.5

Elementary Statistics | 12th Edition

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Problem 20BB

BB Levene-Brown-Forsythe Test for Comparing Variation in Two Populations Use the weights (g) of pre-1964 quarters and post-1964 quarters listed in Data Set 21 of Appendix B. Use the Levene-Brown-Forsythe test with a 0.05 significance level to test the claim that weights of pre-1964 quarters and weights of post-1964 quarters are from populations with the same standard deviation.

Step-by-Step Solution:

Solution 20 BB Step 1 Here we know that from given the problem we use Levene-Brown-Forsythe test with a 0.05 significance level. Then, we want to test the claim that weights of pre-1964 quarters and weights of post-1964 quarters are from populations with the same standard deviation. Here,first sample is pre-1964 group and second sample is post-1964 group. Then hypothesis is H : = 0 1 2 H : = / 1 1 2 Where a1d are2the variance of population. We have to calculated the median from the calculator.Then the given data is Pre-1964 : median =16.1944 median = 5.6362 Post-1964: 2 Step 2 Then we have to find the value of x | median f | or each sample as follows. P r e - Po 1 st- 9 19 6 64 4 Q Q ua u rte a rs rt e r s 6 . 5. 2 70 0.0827 0.0666 7 27 7 1 6 . 5. 2 74 0.0427 0.1134 3 95 7 1 6 . 5. 1 70 0.0442 0.0689 5 50 0 1 6 . 5. 0 58 0.1687 0.0557 2 04 5 7 6 5. . 60 0.0225 0.0351 1 10 7 1 9 6 . 5. 3 60 0.1335 0.0339 2 22 7 8 From the table we calculated x and x from the calculator. 1 2

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##### ISBN: 9780321836960

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