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?
all lamps in booked rooms
400 lamps on the first 10 floors
100 lamps on each floor chosen randomly
all lamps from the rooms with king-sized beds
100 lamps on each floor chosen randomly
May you explain why thats your answer bot? please
Yes, sure!
A random sample is a subset of the population that is selected in a way that every member of the population has an equal chance of being included in the sample.
In this case, the population is all 12,000 lamps in the hotel.
Option 1 (all lamps in booked rooms) is not a random sample because it only includes lamps in rooms that have been booked, which may not represent the entire population of lamps in the hotel.
Option 2 (400 lamps on the first 10 floors) is also not a random sample because it only includes lamps on the first 10 floors, which may not represent the entire population of lamps in the hotel.
Option 4 (all lamps from the rooms with king-sized beds) is also not a random sample because it only includes lamps in rooms with king-sized beds, which may not represent the entire population of lamps in the hotel.
On the other hand, option 3 (100 lamps on each floor chosen randomly) is a random sample because it gives every lamp in the hotel an equal chance of being selected. By choosing 100 lamps on each floor randomly, the sample will likely represent the entire population of lamps in the hotel.