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

all 624 female employees in the company
all 624 female employees in the company

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

400 randomly chosen employees from the list of all employees
400 randomly chosen employees from the list of all employees

a group with one member from each department

a group with one member from each department

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?(1 point)

Responses

all lamps from the rooms with king-sized beds
all lamps from the rooms with king-sized beds

400 lamps on the first 10 floors
400 lamps on the first 10 floors

all lamps in booked rooms
all lamps in booked rooms

100 lamps on each floor chosen randomly

100 lamps on each floor chosen randomly

In order to determine the team-building activity that the employees prefer, it would be best to get a representative sample that can provide a valid generalization. Let's look at the options:

1. "All 624 female employees in the company" - This sample only includes female employees, so it may not represent the preferences of all employees. It would be more valid to include a mix of genders.

2. "All employees who have worked in the company for 5 years or more" - This sample may provide a more accurate representation of the company's long-term employees, but it may exclude newer employees who may have different preferences.

3. "400 randomly chosen employees from the list of all employees" - This sample provides a mix of employees from the entire company. Randomly selecting 400 employees ensures that the sample is not biased and is representative of the entire workforce.

4. "A group with one member from each department" - This sample includes representatives from each department, which may provide insights into the preferences of different teams. However, it may not represent the preferences of the entire workforce, as some departments may be over or underrepresented.

Based on these options, the most valid generalization can be obtained by selecting option 3, which involves randomly choosing 400 employees from the list of all employees. This sample size is large enough to provide a representative understanding of the entire workforce while avoiding potential bias.