A large company wants to find out what team-building activity its employees prefer. Which of the following samples can give the most valid generalization?(1 point)
Responses
400 randomly chosen employees from the list of all employees
all 624 female employees in the company
all employees who have worked in the company for 5 years or more
a group with one member from each department
The first sample of 400 randomly chosen employees from the list of all employees would give the most valid generalization.
Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of 45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample? Show your work.
Population: All players in the softball league.
Sample: The 45 players Maritza chose.
Size of population: 225 players
Size of sample: 45 players
To determine the size of the population and sample, the information is given directly in the problem, where it states that there are 225 players in the league, and Maritza chose the names of 45 players for her sample.
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
In order to obtain the most valid generalization, it is recommended to choose a sample that represents a diverse range of perspectives within the company. Based on the options provided, a group with one member from each department would be the most suitable sample. This sample would allow for representation from various teams and areas within the company, providing a more comprehensive view of the employees' preferences.
In order to find out what team-building activity the employees prefer, the company should aim for a sample that can provide the most valid generalization. Each of the given options has its own pros and cons, but let's evaluate them one by one:
1. 400 randomly chosen employees from the list of all employees:
This sample has the advantage of being randomly selected, which can help minimize bias and increase the likelihood of representing the overall employee population. However, the size of the sample is not specified, and a smaller sample size may not accurately represent the preferences of all employees.
2. All 624 female employees in the company:
This sample specifically targets a particular demographic (female employees). While it may provide insights into the team-building preferences of this group, it does not consider the preferences of male employees. This sample may not be representative of the entire employee population, so generalizing the results to all employees may be limited.
3. All employees who have worked in the company for 5 years or more:
This sample focuses on employees with a specific length of tenure within the company. It could indicate the preferences of long-term employees, who may have a different perspective compared to newer employees. However, this sample excludes employees with shorter tenures, potentially limiting the generalization of the results to the overall employee population.
4. A group with one member from each department:
This sample aims to include representatives from each department within the company. It ensures that all departments are accounted for, which can help capture different perspectives. However, the preferences of these representatives may not reflect the preferences of all employees in their respective departments, leading to potential limitations in generalization.
In terms of providing the most valid generalization, the sample with the potential to be the most representative is option 1: 400 randomly chosen employees from the list of all employees. The randomness of the selection helps to reduce bias and increase the likelihood of obtaining a sample that is representative of the entire employee population. However, it would be ideal to ensure an adequate sample size to accurately represent the preferences of all employees.