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Need some help with this statistics problem. 6. [16 points] A union needs to estimate the total (and also the average) number of depen- dents

Need some help with this statistics problem.

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6. [16 points] A union needs to estimate the total (and also the average) number of depen- dents of all full-time workers in a company. The union has a list of the 600 workers in the company, but the list does not indicate whether the worker is part-time or full-time. The union draws a simple random sample of 80 workers from the 600 workers. The sample data are summarized as follows. Full-time Part-time Number in the sample 55 25 Sample mean of number of dependents 2.0 4.0 Sample standard deviation of number of dependents 0.7071 1.2076 1) [4 points] Estimate the total number of dependents of part-time workers. 2) [4 points] Give a bound on the error of estimation in Question 1).3) [4 points] Estimate the average number of dependents of part-time workers. 4) [4 points] Give a bound on the error of estimation in Question 3)

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