Question

(a) A manager at a bus company wants to survey employees about the new uniforms. Which of the following best describes a systematic sample ofemployees?The manager forms 4 groups of employees based on the departments the employees are in. Then, she selects 20 employees at random from eachThe manager uses a computer program to draw 80 employees at random and selects these employees. Every set of 80 employees is equally likely tobe drawn by the computer program.The manager takes a list of the employees and selects every 4th employee until 80 employees are selected.group.(b) A consultant wants to ask workers at a factory about the workers job satisfaction. Which of the following best describes a convenience sample ofworkers?All of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first 56 workers from the second floorto arrive at work on a particular day.The consultant assigns each worker a different number. Using a random number table, he draws 56 of those numbers at random. Then, the consultantselects the workers assigned to the drawn numbers. Every set of 56 workers is equally likely to be drawn using the random number table.The consultant takes a list of the workers and selects every 7th worker until 56 workers are selected.(C) A facilities supervisor at a sports stadium wants to rate the condition of the seats at the stadium. Which of the following best describes a stratified sampleof seats?All of the seats in the VIP section are easily accessible. So, the supervisor selects the 54 seats in this section.The supervisor forms groups of 9 seats based on the sections the seats are in. Then, she selects all of the seats in 6 randomly chosen groups.The supervisor forms 6 groups of seats based on the dates the seats were last replaced. Then, she selects 9 seats at random from each group

Answer 1

The Solution:

For part (A):

The option that describes systematic sampling is option 3: That is, the manager takes a list of the employees and selects every 4th employee until 80 employees are selected.

For part B:

The option that best describes a convenience sampling of workers is option 1: That is, all of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first 56 workers from the second floor to arrive at work on a particular day.

For part C:

The sampling option that best describes a stratified sampling is option 3: That is, the supervisor forms 6 groups of seats based on the dates the seats were last replaced. Then, she selects 9 seats at random from each group.