Problem 5 - BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

Question

In Exercises 5–8, identify the type of sample described. The owners of a chain of 260 retail stores want to assess employee job satisfaction. Employees from 12 stores near the headquarters are surveyed.

Step-by-Step Solution

Answer

The type of sampling described in this exercise is convenience sampling.

Step 1: Understand the scenario

First, note that we're dealing with a large chain of stores - 260 in total. However, only employees from 12 stores, specifically ones near the headquarters, are surveyed. The entire group of interest is the employees in all 260 stores, but our sample is coming only from a small, specifically chosen subset.

Step 2: Identify the sampling type

This method is not truly random, because not all stores or employees have an equal chance of being included in the survey. Instead, a specific group of stores (those near the headquarters) has been selected. This is an example of a non-probability sampling method. More specifically, it can be classified as convenience sampling, because the stores are chosen based on their proximity to the headquarters, which presumably makes them easier to access.

Key Concepts

Convenience Sampling

Convenience sampling involves selecting a sample based on the ease of access rather than using a random approach. It relies on gathering data from a part of the population that is readily available and easy to reach. In the context of the exercise, choosing to survey employees from stores close to company headquarters is a classic example of this method.

Convenience sampling is appealing for several reasons:

• It saves time, as researchers can access participants without extensive planning.
• It reduces costs, as it minimizes travel or complex logistics.
• It is simple, as it requires fewer steps than more rigorous sampling methods.

However, it has significant drawbacks, notably the risk of bias. This method often results in samples that do not accurately represent the broader population. In our exercise, only surveying employees from nearby stores might not capture the diverse experiences and levels of satisfaction across the entire chain. As such, conclusions drawn might not be valid for all employees.

Non-Probability Sampling

Non-probability sampling is a category of sampling techniques where certain members of a population have no chance of being selected. Unlike probability sampling, which aims to involve participants randomly, non-probability methods do not guarantee that each member of the population has an equal chance of being surveyed.

This type of sampling can include several methods:

• Convenience Sampling - selecting participants who are easily accessible.
• Judgmental Sampling - using expert judgment for choosing subjects.
• Snowball Sampling - participants recruit other participants, often used in hidden populations studies.

In our exercise, selecting stores close to headquarters is not random and represents an instance of non-probability sampling. This can lead to biases because the sample may not be reflective of the broader population of all 260 stores. However, these methods are still useful in exploratory research phases where quick insights are prioritized.

Survey Methodology

Survey methodology refers to the strategies and techniques used to conduct surveys effectively and gather accurate data. The choice of survey method impacts the quality and reliability of the collected data. Important considerations include the sample selection, survey design, data collection method, and analysis.

When developing a survey on employee job satisfaction, key elements to ponder are:

• Choosing a representative sample to ensure reliable results.
• Designing questions that are unbiased and easy to understand.
• Deciding on data collection methodologies, such as online surveys, interviews, or paper questionnaires.

In the exercise scenario, surveying employees from stores near headquarters impacts the survey methodology by shaping the sample. Ideally, a diverse sample would be selected to better reflect the experiences and satisfaction of the entire company workforce. Focusing on nearby stores limits the insights and applications of survey findings.

Employee Job Satisfaction

Employee job satisfaction measures how content employees are with their roles, work environment, and other job-related factors. It’s an essential aspect for managers to monitor, as it influences productivity, retention, and overall company morale.

Key factors contributing to job satisfaction can include:

• Work-life balance.
• Compensation and benefits.
• Opportunities for growth and development.
• Work environment and company culture.

Assessing employee job satisfaction through surveys, as in the exercise, helps organizations identify areas for improvement. However, when using non-representative samples, like those from convenience sampling, organizations risk missing critical insights. A well-conducted survey reaches various employee groups across different locations, capturing an accurate picture of job satisfaction across the company.