True or False This is a very simple question The central lim

True or False. This is a very simple question. The central limit theorem is related to the idea that larger samples will have SAMPLE MEANS closer to the true POPULATION VALUE

Solution

TRUE

i will explain by example

It is important to note that intuition of the Central Limit Theorem (CLT) is often confused with the Law of Large Numbers (LLN). The key distinction is that the LLN depends on the size of a single sample, whereas the CLT depends on the number of samples.

Say we wanted to find the average weight of people in the United States, but we can\'t weigh everyone so we have to draw a sample (or group) of people at random. The LLN tells us that the larger the group of people is that we pick, the closer our sample mean (the average weight of the group) will be to the true average weight of everyone in the US.