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Suppose you want to conduct a survey of benet packages available in private businesses in greater Melbourne. You have a directory of businesses that lists

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Suppose you want to conduct a survey of benet packages available in private businesses in greater Melbourne. You have a directory of businesses that lists companies alphabetically. The directory lists the name of the business, suburb, and number of employees of 25m businesses. The businesses are equally distributed across 250 suburbs; each suburb has 10 listed businesses. Among the 2500 listed businesses, 200 have less or equal to 10 employees, 350 have 11-25 employees, 554] have 26-50 employees, 950 have l-l employee, and 450 have more than 100 employee. A snapshot of a section of the directory looks as follows. Company Name Suburb Number of Employees 2020 Global Business Melbourne less or equal to 10 Abbott Business Port Melbourne 11-25 ABC Business Hawthorn more than 100 Iyyoreyuynom Active Business St Kilda 51-l0 Ada Business South Yarra 26-50 Advantage Business Southbanlr more than 100 Synyy my 1. Describe how to use stratied sampling to obtain a sample of 5D. Specify which variable (suburb or number of employee) you would choose for stratication and why you choose this variable, compute the number of businesses you should select from each stratum using propor- tional sampling, and discuss how to obtain the sample. 2. Describe how to use cluster sampling to obtain a sample of 50. Specify which variable {suburb or number of employee] you would choose to form clusters. why you choose this variable, and hovi:r to obtain a sample of 50 using single stage sampling

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