Q 3.27
Question
All the workers at a certain company drive to work and park in the company’s lot. The company is interested in estimating the average number of workers in a car. Which of the following methods will enable the company to estimate this quantity? Explain your answer.
1. Randomly choose n workers, find out how many were in the cars in which they were driven, and take the average of the n values.
2. Randomly choose n cars in the lot, find out how many were driven in those cars, and take the average of the n values
Step-by-Step Solution
VerifiedSecond method will enable the company to estimate the average number of workers in a car.
Given that all the workers at a certain company drive to work and park in the company’s lot. The company is interested in estimating the average number of workers in a car.
1. Randomly choose n workers, find out how many were in the cars in which they were driven, and take the average of the n values.
2. Randomly choose n cars in the lot, find out how many were driven in those cars, and take the average of the n values
We have to explain Which of the above methods will enable the company to estimate this quantity
The second method is to enable the company.
In the first case, we randomly choosen workers and there may be a chance of some people traveling in the same car. It leads to counting the same car more than once. So, counting the average number of workers will lead to overcounting.
Whereas in the second case we randomly choose cars in the lot and find out how many were driven in those cars and take the average of the values. Here we track down the number of passengers from the selected cars. since passengers in every vehicle have a place with disjoint sets and guarantee that the number of passengers in a single-vehicle whenever counted once, won't be counted once more.
In this way, second method will enable the company to estimate the average number of workers in a car.