The accompanying data table includes weights (in grams) of a simple random sample of 40 quarters made before 1964 and weights of 40 quarters made after 1964. When designing coin vending machines, the standard deviations of pre-1964 quarters and post-1964 quarters must be considered. Use the Levene-Brown-Forsythe test and a 0.05 significance level to test the claim that the weights of pre-1964 quarters and the weights of post-1964 quarters are from populations with the same standard deviation. Pre-1964 Post-1964 6.2782 5.7072 6.2364 5.7445 6.1512 5.7021 5.9996 5.5994 6.1278 5.7267 6.2151 5.6114 6.2866 5.6160 6.0760 5.5999 6.1426 5.7790 6.3415 5.6841 6.1309 5.6234 6.2412 5.5928 6.1442 5.6486 6.1073 5.6661 6.1181 5.5361 6.1352 5.5491 6.2821 5.7239 6.2647 5.6555 6.2908 5.6063 6.1657 5.5713 6.2684 5.5626 6.2722 5.5895 6.1939 5.6874 6.2465 5.6274 6.3172 5.6157 6.1487 5.6668 6.0829 5.7198 6.1423 5.6694 6.1970 5.5454 6.2441 5.6646 6.3669 5.5636 6.0775 5.6485 6.1095 5.6703 6.1787 5.6848 6.2130 5.5609 6.1947 5.7344 6.1940 5.6449 6.0257 5.5804 6.1704 5.6033 6.3273 5.6032 =/= Identify the test statistic. (Round to three decimal places as needed.) Identify the P-value. (Round to four decimal places as needed.) What is the conclusion for this test? (reject/fail to reject) H0. There (is/is not) sufficient evidence to warrant rejection of the claim that the variation among weights of quarters made after 1964 is the same as the variation among weights of quarters made before 1964.

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Description: The accompanying data table includes weights (in grams) of a simple random sample of 40 quarters made before 1964 and weights of 40 quarters made after 1964. When designing coin vending machines, the standard deviations of pre-1964 quarters and p

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The accompanying data table includes weights (in grams) of a simple random sample of 40 quarters made before 1964 and weights of 40 quarters made after 1964. When designing coin vending machines, the standard deviations of pre-1964 quarters and post-1964 quarters must be considered. Use the Levene-Brown-Forsythe test and a 0.05 significance level to test the claim that the weights of pre-1964 quarters and the weights of post-1964 quarters are from populations with the same standard deviation.

Pre-1964 Post-1964
6.2782 5.7072
6.2364 5.7445
6.1512 5.7021
5.9996 5.5994
6.1278 5.7267
6.2151 5.6114
6.2866 5.6160
6.0760 5.5999
6.1426 5.7790
6.3415 5.6841
6.1309 5.6234
6.2412 5.5928
6.1442 5.6486
6.1073 5.6661
6.1181 5.5361
6.1352 5.5491
6.2821 5.7239
6.2647 5.6555
6.2908 5.6063
6.1657 5.5713
6.2684 5.5626
6.2722 5.5895
6.1939 5.6874
6.2465 5.6274
6.3172 5.6157
6.1487 5.6668
6.0829 5.7198
6.1423 5.6694
6.1970 5.5454
6.2441 5.6646
6.3669 5.5636
6.0775 5.6485
6.1095 5.6703
6.1787 5.6848
6.2130 5.5609
6.1947 5.7344
6.1940 5.6449
6.0257 5.5804
6.1704 5.6033
6.3273 5.6032

=/=

Identify the test statistic.

(Round to three decimal places as needed.)

Identify the P-value.

(Round to four decimal places as needed.)

What is the conclusion for this test?

(reject/fail to reject) H0. There (is/is not) sufficient evidence to warrant rejection of the claim that the variation among weights of quarters made after 1964 is the same as the variation among weights of quarters made before 1964.

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