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?
a all lamps from the rooms with king-sized beds
b all lamps in booked rooms
c 100 lamps on each floor chosen randomly
d 400 lamps on the first 10 floors
3 answers
c 100 lamps on each floor chosen randomly.
Is it c because it is the only one chosen randomly?
Yes, that is correct. Option c is the only one that involves random selection. The other options select lamps based on certain criteria (e.g. all lamps from rooms with king-sized beds or all lamps in booked rooms), which may not be representative of the entire population of lamps in the hotel.