A hotel maintenance crew wants to estimate how many of the 12,000 lamps in there 30 story hotel need a new light bulb which of the following is a random sample of lamps being inspected
To obtain a random sample of lamps to inspect, the hotel maintenance crew can randomly select a certain number of lamps from different floors of the hotel. Here are a few examples of random samples of lamps being inspected:
1. Selecting 10 lamps from each floor: In this case, the maintenance crew will randomly choose 10 lamps from each of the 30 floors. The total number of lamps to inspect would be 10 x 30 = 300 lamps.
2. Selecting 100 lamps from the hotel: Here, the maintenance crew randomly selects 100 lamps from the entire hotel, without considering the distribution across floors.
3. Using a stratified random sampling approach: In this method, the maintenance crew can divide the hotel into different strata based on floors (e.g., low floors, middle floors, high floors). Then, a random sample proportionally representing each stratum can be selected. For instance, they may choose 5 lamps from each floor, resulting in a total sample size of 5 x 30 = 150 lamps.
It's essential to note that the actual method of random sampling can vary based on the specific requirements and constraints of the hotel maintenance crew.