Question:

Suppose you want to conduct a survey of benefit packages available in private businesses in greater?

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Melbourne. You have a directory of businesses that lists companies alphabetically. The directory?

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lists the name of the business, suburb, and number of employees of 2500 businesses. The businesses?

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are equally distributed across 250 suburbs; each suburb has 10 listed businesses. Among the 2500?

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listed businesses, 200 have less or equal to 10 employees, 350 have 11-25 employees, 550 have 26-50?

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employees, 950 have 51-100 employee, and 450 have more than 100 employee. A snapshot of a section?

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of the directory looks as follows.?

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Company Name Suburb Number of Employees?

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2020 Global Business Melbourne less or equal to 10?

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Abbott Business Port Melbourne 11-25?

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ABC Business Hawthorn more than 100?

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Ace Business Carlton less or equal to 10?

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Active Business St Kilda 51-100?

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Ada Business South Yarra 26-50?

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Advantage Business Southbank more than 100?

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Ahrens Business St Kilda 11-25?

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All Business South Yarra less or equal to 10?

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Accredited Business Sydney 26-50?

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Atkins & Race Business Docklands 26-50?

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Baker Farlow Business St Kilda more than 100?

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Betta Business South Yarra 51-100?

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Better Business Richmond 26-50?

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1.Describe how to use stratified sampling to obtain a sample of 50. Specify which variable?

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(suburb or number of employee) you would choose for stratification and why you choose this?

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variable, compute the number of businesses you should select from each stratum using propor-?

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tional sampling, and discuss how to obtain the sample.?

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2. Describe how to use cluster sampling to obtain a sample of 50. Specify which variable (suburb?

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or number of employee) you would choose to form clusters, why you choose this variable, and?

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how to obtain a sample of 50 using single stage sampling.?

A sample of size n is taken from a population with an unknown distribution, with mean and standard deviation . Which of the following statements about the sample mean distribution is true? Select one: O a. without Using the Central Limit Theorem, Xexactly followsX- Nu. 0 b. Using the Central Limit Theorem, Xexactly followsX - N(J.-) C. Using the Central Limit Theorem, Xapproximately follows . N p. =] 0 d Without Using the Central Limit Theorem, Xexactly follower . No.A sample of size n is taken from a population with an unknown distribution, with mean // and standard deviation O. Which of the following statements about the sample mean distribution is true? Select one: a. Using the Central Limit Theorem, Xexactly followsX- Nu, n b. without Using the Central Limit Theorem, X approximately followsX - N H,- n O C. Using the Central Limit Theorem, X approximately followsX - Nu.- n O d. without Using the Central Limit Theorem, 02 Xexactly followsX - Nu