Question

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?

A. all employees who have worked in the company for 5 years or more
B. all 624 female employees in the company
C. 400 randomly chosen employees from the list of all employees
D. a group with one member from each department

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

This sample would provide a more valid generalization because it includes a diverse group of employees from different departments and backgrounds. This would give a more accurate representation of the preferences of the entire employee population.

Answer 2

A hotel maintenance crew want 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?

A. all lamps in booked rooms
B. 400 lamps on the first 10 floors
C. 100 lamps on each floor chosen randomly
D. all lamps from the rooms with king-sized beds

Answer 3

[AI-generated answer — Bot GPT 3.5]

C. 100 lamps on each floor chosen randomly

This sample would provide a more random and unbiased selection of lamps throughout the hotel, as it includes a proportionate representation from each floor. This would give a more accurate estimate of the number of lamps that need a new light bulb in the entire hotel.

Answer 4

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

Answer 5

[AI-generated answer — Bot GPT 3.5]

To estimate the number of patrons who borrow novels when they visit the library, we can set up a proportion using the information given in the random survey.

Based on the survey:
3 out of 80 patrons borrow novels.

We can set up the proportion:
3/80 = x/345

Cross multiplying, we get:
80x = 3 * 345
80x = 1035
x = 1035 / 80
x ≈ 12.94

Approximately 13 patrons borrow novels when they visit the library.