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19 BB Count Five Test for Comparing Variation in Two

ISBN: 9780321836960 18

Solution for problem 19BB Chapter 9.5

Elementary Statistics | 12th Edition

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Problem 19BB

?19 BB Count Five Test for Comparing Variation in Two Populations?Use the original weights of pre-1964 quarters and post-1964 quarters listed in Data Set 21 in Appendix B. Instead of using the A test, use the following procedure for a “count five” test of equal variation. What do you conclude? a.?For the first sample, find the absolute deviation of each value. The absolute deviation of a sample value x is . Sort the absolute deviation values. Do the same for the second sample. b.?Let?cl?be the count of the number of absolute deviation values in the first sample that are greater than the largest absolute deviation value in the other sample. Also, let?c2?be the count of the number of absolute deviation values in the second sample that are greater than the largest absolute deviation value in the other sample. (One of these counts will always be zero.) c.?If the sample sizes are equal (?n]?=?n2),?use a critical value of 5. If?nxA n?2, calculate the critical value shown below. d.?If?C?1? critical value, then conclude that ?1?2=??2?2?. If?c2??critical value, then conclude that?1?2=??2?2?. Otherwise, fail to reject the null hypothesis of ?1?2?=?2?2.

Step-by-Step Solution:

Solution 19 BB Step 1 We know from the given problem we use the original weights of pre-1964 quarters and post-1964 quarters listed in Data Set 21 in Appendix B. Instead of using F-test ,we use the following procedure for a “count five “ test of equal variation. Step 2 a) For the first and second samples, we find the absolute deviation of each value and sort the absolute deviation. First sample is, weights of of pre-1964 quarters : n =140 , x = 1.1927 second sample is, weights of of pre-1964 quarters : n = 10 , x = 516393

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