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Use the diagram to answer the question that follows: A large number of samples o

ID: 3227518 • Letter: U

Question

Use the diagram to answer the question that follows: A large number of samples of size 30 are drawn from the population with the distribution shown above. The mean of each sample is computed. Which of the following describes the shape, mean, and standard deviation of the distribution of the sample means? A. Same shape as the original distribution with a mean of 100 and a standard deviation of 20 B. Same shape as the original distribution with a mean of 100 and a standard deviation of 0.67 C. Approximately normally distributed with a mean of 100 and a standard deviation 0.67

Explanation / Answer

The correct answer is C because the means of repeated samples will form a normal distribution curve.

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