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(a)A manager at a bus company wants to survey employees about the new uniforms. Which of the following best describes a random sample of employees?The manager asks for volunteers and selects every volunteer until 60 employees are selected. She selects the volunteers because these employees are easily accessible.The manager forms groups of 12 employees based on the departments the employees are in. Then, she selects all of the employees in 5 randomly chosen groups.The manager uses a computer program to draw 60 employees at random and selects these employees. Every set of 60 employees is equally likely to be drawn by the computer program.(b)A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?The consultant forms groups of 8 workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses 9 groups and selects all of the workers in these groups.The consultant assigns each worker a different number. Using a random number table, he draws 72 of those numbers at random. Then, the consultant selects the workers assigned to the drawn numbers. Every set of 72 workers is equally likely to be drawn using the random number table.The consultant forms 6 groups of workers based on the workers' shifts. Then, he selects 12 workers at random from each group.(c)A city manager wants to poll residents about a park renovation. Which of the following best describes a convenience sample of residents?The city manager takes a list of the residents and selects every 5th resident until 90 residents are selected.The first 90 residents who walk into city hall one day are easily accessible. So, the city manager selects these residents.The city manager forms 5 groups of residents based on the residents' incomes. Then, she selects 18 residents at random from each group.

Question

(a)A manager at a bus company wants to survey employees about the new uniforms. Which of the following best describes a random sample of employees?The manager asks for volunteers and selects every volunteer until 60 employees are selected. She selects the volunteers because these employees are easily accessible.The manager forms groups of 12 employees based on the departments the employees are in. Then, she selects all of the employees in 5 randomly chosen groups.The manager uses a computer program to draw 60 employees at random and selects these employees. Every set of 60 employees is equally likely to be drawn by the computer program.(b)A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?The consultant forms groups of 8 workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses 9 groups and selects all of the workers in these groups.The consultant assigns each worker a different number. Using a random number table, he draws 72 of those numbers at random. Then, the consultant selects the workers assigned to the drawn numbers. Every set of 72 workers is equally likely to be drawn using the random number table.The consultant forms 6 groups of workers based on the workers' shifts. Then, he selects 12 workers at random from each group.(c)A city manager wants to poll residents about a park renovation. Which of the following best describes a convenience sample of residents?The city manager takes a list of the residents and selects every 5th resident until 90 residents are selected.The first 90 residents who walk into city hall one day are easily accessible. So, the city manager selects these residents.The city manager forms 5 groups of residents based on the residents' incomes. Then, she selects 18 residents at random from each group.

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Solution

(a) The best description of a random sample of employees is the third option: "The manager uses a computer program to draw 60 employees at random and selects these employees. Every set of 60 employees is equally likely to be drawn by the computer program." This is because a random sample should give every member of the population an equal chance of being selected.

(b) The best description of a stratified sample of workers is the third option: "The consultant forms 6 groups of workers based on the workers' shifts. Then, he selects 12 workers at random from each group." This is because a stratified sample involves dividing the population into subgroups (strata) and then taking a random sample from each subgroup.

(c) The best description of a convenience sample of residents is the second option: "The first 90 residents who walk into city hall one day are easily accessible. So, the city manager selects these residents." This is because a convenience sample involves selecting individuals who are easiest to reach or most readily available.

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Similar Questions

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