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QUESTION 4 A financial analyst asked the following question: Is the average earnings yield of manufacturing companies the same as the average earnings yield of retailing companies? To examine this question, the analyst randomly sampled 19 manufacturing companies and 24 re- tailing companies. The descriptive statistics from each sample of companies are as below when the two samples are independent and the population variances are assumed equal. Manufacturers Retailers 8.45 Sample mean Sample standard deviation 3.32 Sample size 10.22 4.14 24 19Consider the information given on question 4, the 99% confidence interval for X1-X2 is 1. (-5.4565; 1.8965) 2. (-1.77; 3.6815) 3. (-1.77; 3.5165) 4. (1.9115: 5.4515) 5. (1.9115; 5.4515)

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Answer #1

iym tha Rstailens Manufactuus n2 : 24. x2= 10.22 4.14. ะ 3.3 2 Givan h po Combineo pc nitn2-2 19 x (3.32+ 24 x (4.14)? 19 +24

I try to many times, then we got

The 99% confidence interval

= (-4.8528, 1.3128)

Thus the approximately, the correct answer is (1).

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