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?

All 624 female employees in the company

400 randomly chosen employees from the list of all employees

all employees who have worked in the company for 5 years or more

a group with one member from each department

400 randomly chosen employees from the list of all employees

A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?

400 lamps on the first 10 floors

all lamps from the rooms with king-sized beds

all lamps in booked rooms

100 lamps on each floor chosen randomly

100 lamps on each floor chosen randomly

A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number.

? patrons

The sample that can give the most valid generalization would be 400 randomly chosen employees from the list of all employees. This sample is representative of the entire employee population and is more likely to provide an unbiased and accurate reflection of the preferences of the company's employees as a whole.

In order to make a valid generalization about the team-building activity preference of the employees, it is important to ensure that the sample chosen is representative of the entire employee population. This means that the sample should reflect the characteristics and diversity of the entire company.

Out of the provided options, the sample that can give the most valid generalization would be:
400 randomly chosen employees from the list of all employees.

Choosing a random sample allows for the selection of employees from different departments, levels, and backgrounds within the company. This helps to ensure a more representative sample and reduces the likelihood of bias.

On the other hand, the other options provided have some limitations:

1. All 624 female employees in the company: This sample represents only female employees and may not accurately reflect the preferences of the entire employee population, which includes both male and female employees.

2. All employees who have worked in the company for 5 years or more: This sample represents only employees who have been with the company for a specific duration. It may not adequately represent the preferences of newer employees or employees who have been with the company for less than 5 years.

3. A group with one member from each department: This sample represents only one employee per department, which may not be enough to capture the diversity of preferences within each department or the entire company.

By choosing a random sample from the list of all employees, the company can ensure a more unbiased and representative sample for making valid generalizations about the team-building activity preference of its employees.