1. A large retail company has 500 stores in the United States and 300 stores in...
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1. A large retail company has 500 stores in the United States and 300 stores in Europe. The average number of employees per store is 200, for a total of 100,000 employees in the United States and 60,000 employees in Europe. The company is considering offering employees one of two new benefits-one additional day of paid vacation per year or a small increase in pay. A survey will be given to a sample of employees to investigate which benefit is preferred and whether there is a difference in preference between employees in the United States and employees in Europe. Two sampling methods have been proposed. Sampling method 1: The company will randomly select 8 stores from its 800 stores. All employees at the 8 selected stores will be asked which benefit they prefer. Sampling method 2: The company will randomly select 1,000 employees from a list of all employees at the United States stores and 600 employees from a list of all employees at the European stores. All 1,600 selected employees will be asked which benefit they prefer. (a) One of the two methods results in a stratified sample of employees and the other results in a cluster sample of employees. (i) Identify the sampling method that results in a stratified sample of employees, and identify the strata. Sampling method number: Strata: (ii) Identify the sampling method that results in a cluster sample of employees, and identify the clusters. Sampling method number: Clusters: (b) Give one statistical advantage and one statistical disadvantage of using sampling method 1. Advantage: to 1. A large retail company has 500 stores in the United States and 300 stores in Europe. The average number of employees per store is 200, for a total of 100,000 employees in the United States and 60,000 employees in Europe. The company is considering offering employees one of two new benefits-one additional day of paid vacation per year or a small increase in pay. A survey will be given to a sample of employees to investigate which benefit is preferred and whether there is a difference in preference between employees in the United States and employees in Europe. Two sampling methods have been proposed. Sampling method 1: The company will randomly select 8 stores from its 800 stores. All employees at the 8 selected stores will be asked which benefit they prefer. Sampling method 2: The company will randomly select 1,000 employees from a list of all employees at the United States stores and 600 employees from a list of all employees at the European stores. All 1,600 selected employees will be asked which benefit they prefer. (a) One of the two methods results in a stratified sample of employees and the other results in a cluster sample of employees. (i) Identify the sampling method that results in a stratified sample of employees, and identify the strata. Sampling method number: Strata: (ii) Identify the sampling method that results in a cluster sample of employees, and identify the clusters. Sampling method number: Clusters: (b) Give one statistical advantage and one statistical disadvantage of using sampling method 1. Advantage: to
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