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In one way, the central limit theorem can be thought of as a kind of \"grand cen

ID: 3058060 • Letter: I

Question

In one way, the central limit theorem can be thought of as a kind of "grand central station." It is a connecting hub for a great deal of statistical work. We will use it extensively in the remaining modules. Put in simpler terms, the central limit theorem states that as the sample size n increases, the distribution of the sample mean x with minus on top will always approach a normal distribution, no matter where the original x variable came from. For most people, it is the complete generality of the central limit theorem that is so amazing: it applies to almost everything. For this project, list and discuss at least three variables from everyday life for which you expect the variable x itself not to follow a normal or bell-shaped distribution. In your discussion you should include the following: For each variable: 1) Describe the variable 2) Why you don't think the variable is normally distributed 3) What you expect the distribution to be (for example, right skewed, left skewed, bimodal, etc.)

**Please use examples that are not given in previous Chegg questions!!!!

Explanation / Answer

In one way, the central limit theorem can be thought of as a kind of "grand central station." It is a connecting hub for a great deal of statistical work. We will use it extensively in the remaining modules. Put in simpler terms, the central limit theorem states that as the sample size n increases, the distribution of the sample mean x with minus on top will always approach a normal distribution, no matter where the original x variable came from. For most people, it is the complete generality of the central limit theorem that is so amazing: it applies to almost everything. For this project, list and discuss at least three variables from everyday life for which you expect the variable x itself not to follow a normal or bell-shaped distribution. In your discussion you should include the following: For each variable: 1) Describe the variable 2) Why you don't think the variable is normally distributed 3) What you expect the distribution to be (for example, right skewed, left skewed, bimodal, etc.)

**Please use examples that are not given in previous Chegg questions!!!!

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