What does the central limit theorem say about the shape of the distribution of the sample means?

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### Central Limit Theorem and the Shape of Distribution of Sample Means

**Question:**
What does the central limit theorem say about the shape of the distribution of the sample means?

**Options:**

- The distribution will be approximately normal when the sample size is large.

- The distribution will be approximately normal when the standard deviation of the sample means is the same as the population standard deviation.

- The distribution will be approximately normal when the sample size is small.

- The distribution will be normal when all sample means within 2 standard deviations of the actual mean are considered.

- The distribution will be approximately normal regardless of sample size.
Transcribed Image Text:### Central Limit Theorem and the Shape of Distribution of Sample Means **Question:** What does the central limit theorem say about the shape of the distribution of the sample means? **Options:** - The distribution will be approximately normal when the sample size is large. - The distribution will be approximately normal when the standard deviation of the sample means is the same as the population standard deviation. - The distribution will be approximately normal when the sample size is small. - The distribution will be normal when all sample means within 2 standard deviations of the actual mean are considered. - The distribution will be approximately normal regardless of sample size.
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